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161188416 = 2632234
BaseRepresentation
bin10011001101110…
…00101001000000
3102020022012221100
421212320221000
5312231012131
623554454400
73665036034
oct1146705100
9366265840
10161188416
1182a94274
1245b94400
132751867c
141759c1c4
15e23e7e6
hex99b8a40

161188416 has 105 divisors (see below), whose sum is σ = 483018211. Its totient is φ = 51393408.

The previous prime is 161188411. The next prime is 161188429. The reversal of 161188416 is 614881161.

The square root of 161188416 is 12696.

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

161188416 is a `hidden beast` number, since 1 + 61 + 188 + 416 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161188411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7008181 + ... + 7008203.

Almost surely, 2161188416 is an apocalyptic number.

161188416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161188416 is the 12696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161188416

161188416 is an abundant number, since it is smaller than the sum of its proper divisors (321829795).

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

161188416 is an frugal number, since it uses more digits than its factorization.

161188416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 28 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The cubic root of 161188416 is about 544.2243163725.

Multiplying 161188416 by its sum of digits (36), we get a 4-th power (5802782976 = 2764).

161188416 divided by its sum of digits (36) gives a 4-th power (4477456 = 464).

Multiplying 161188416 by its product of digits (9216), we get a 4-th power (1485512441856 = 11044).

It can be divided in two parts, 161188 and 416, that added together give a square (161604 = 4022).

The spelling of 161188416 in words is "one hundred sixty-one million, one hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 529 552 576 736 828 1058 1104 1472 1587 1656 2116 2208 3174 3312 4232 4416 4761 6348 6624 8464 9522 12167 12696 13248 16928 19044 24334 25392 33856 36501 38088 48668 50784 73002 76176 97336 101568 109503 146004 152352 194672 219006 279841 292008 304704 389344 438012 559682 584016 778688 839523 876024 1119364 1168032 1679046 1752048 2238728 2336064 2518569 3358092 3504096 4477456 5037138 6716184 7008192 8954912 10074276 13432368 17909824 20148552 26864736 40297104 53729472 80594208 161188416