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161252451220 = 225723187326737
BaseRepresentation
bin1001011000101101100…
…1010010001110010100
3120102012221221021002011
42112023121102032110
510120221111414340
6202024531354004
714435662135330
oct2261331221624
9512187837064
10161252451220
1162428894313
1227303152904
131228a897113
147b39db87c0
1542db8d90ea
hex258b652394

161252451220 has 96 divisors (see below), whose sum is σ = 404062944768. Its totient is φ = 52852580352.

The previous prime is 161252451169. The next prime is 161252451221. The reversal of 161252451220 is 22154252161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161252451221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6017692 + ... + 6044428.

It is an arithmetic number, because the mean of its divisors is an integer number (4208989008).

Almost surely, 2161252451220 is an apocalyptic number.

161252451220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161252451220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202031472384).

161252451220 is an abundant number, since it is smaller than the sum of its proper divisors (242810493548).

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

161252451220 is a wasteful number, since it uses less digits than its factorization.

161252451220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28649 (or 28647 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 161252451220 in words is "one hundred sixty-one billion, two hundred fifty-two million, four hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 1873 3220 3746 7492 9365 13111 18730 26222 26737 37460 43079 52444 53474 65555 86158 106948 131110 133685 172316 187159 215395 262220 267370 301553 374318 430790 534740 603106 614951 748636 861580 935795 1206212 1229902 1507765 1871590 2459804 3015530 3074755 3743180 4304657 6031060 6149510 8609314 12299020 17218628 21523285 43046570 50078401 86093140 100156802 200313604 250392005 350548807 500784010 701097614 1001568020 1151803223 1402195228 1752744035 2303606446 3505488070 4607212892 5759016115 7010976140 8062622561 11518032230 16125245122 23036064460 32250490244 40313112805 80626225610 161252451220