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161247221136 = 243210923072
BaseRepresentation
bin1001011000101100010…
…1010101010110010000
3120102012121002112202100
42112023011111112100
510120213242034021
6202024223320400
714435566523301
oct2261305252620
9512177075670
10161247221136
1162425941931
1227301450100
13122897856b1
147b394167a8
1542db204626
hex258b155590

161247221136 has 135 divisors (see below), whose sum is σ = 456934693761. Its totient is φ = 53082490752.

The previous prime is 161247221129. The next prime is 161247221143. The reversal of 161247221136 is 631122742161.

The square root of 161247221136 is 401556.

It is a perfect power (a square), and thus also a powerful number.

161247221136 is a `hidden beast` number, since 1 + 61 + 247 + 221 + 136 = 666.

161247221136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161247221129) and next prime (161247221143).

It can be written as a sum of positive squares in only one way, i.e., 112388539536 + 48858681600 = 335244^2 + 221040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 161247221136.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 525235095 + ... + 525235401.

Almost surely, 2161247221136 is an apocalyptic number.

161247221136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161247221136 is the 401556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161247221136

161247221136 is an abundant number, since it is smaller than the sum of its proper divisors (295687472625).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161247221136 is an equidigital number, since it uses as much as digits as its factorization.

161247221136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 421 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

Multiplying 161247221136 by its sum of digits (36), we get a square (5804899960896 = 24093362).

161247221136 divided by its sum of digits (36) gives a square (4479089476 = 669262).

Adding to 161247221136 its reverse (631122742161), we get a palindrome (792369963297).

The spelling of 161247221136 in words is "one hundred sixty-one billion, two hundred forty-seven million, two hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 307 327 436 614 654 872 921 981 1228 1308 1744 1842 1962 2456 2616 2763 3684 3924 4912 5232 5526 7368 7848 11052 11881 14736 15696 22104 23762 33463 35643 44208 47524 66926 71286 94249 95048 100389 106929 133852 142572 188498 190096 200778 213858 267704 282747 285144 301167 376996 401556 427716 535408 565494 570288 602334 753992 803112 848241 855432 1130988 1204668 1507984 1606224 1696482 1710864 2261976 2409336 3392964 3647467 4523952 4818672 6785928 7294934 10273141 10942401 13571856 14589868 20546282 21884802 29179736 30819423 32827203 41092564 43769604 58359472 61638846 65654406 82185128 87539208 92458269 123277692 131308812 164370256 175078416 184916538 246555384 262617624 369833076 493110768 525235248 739666152 1119772369 1479332304 2239544738 3359317107 4479089476 6718634214 8958178952 10077951321 13437268428 17916357904 20155902642 26874536856 40311805284 53749073712 80623610568 161247221136