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32053173156 = 22325325632
BaseRepresentation
bin11101110110100001…
…001001101110100100
310001201211200220110100
4131312201021232210
51011121103020111
622420334424100
72213210322264
oct356641115644
9101654626410
1032053173156
11126591a9454
126266662030
13303a868c64
1417a0dc57a4
15c78ee1756
hex776849ba4

32053173156 has 81 divisors (see below), whose sum is σ = 82727825089. Its totient is φ = 10464179232.

The previous prime is 32053173091. The next prime is 32053173161. The reversal of 32053173156 is 65137135023.

The square root of 32053173156 is 179034.

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

32053173156 is a `hidden beast` number, since 3 + 2 + 0 + 531 + 73 + 1 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23107040100 + 8946133056 = 152010^2 + 94584^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32053173156.

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, 56932531 + ... + 56933093.

Almost surely, 232053173156 is an apocalyptic number.

32053173156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32053173156 is the 179034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32053173156

32053173156 is an abundant number, since it is smaller than the sum of its proper divisors (50674651933).

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

32053173156 is an equidigital number, since it uses as much as digits as its factorization.

32053173156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Multiplying 32053173156 by its sum of digits (36), we get a square (1153914233616 = 10742042).

32053173156 divided by its sum of digits (36) gives a square (890365921 = 298392).

It can be divided in two parts, 32053 and 173156, that added together give a square (205209 = 4532).

The spelling of 32053173156 in words is "thirty-two billion, fifty-three million, one hundred seventy-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 563 636 954 1126 1689 1908 2252 2809 3378 5067 5618 6756 8427 10134 11236 16854 20268 25281 29839 33708 50562 59678 89517 101124 119356 179034 268551 316969 358068 537102 633938 950907 1074204 1267876 1581467 1901814 2852721 3162934 3803628 4744401 5705442 6325868 9488802 11410884 14233203 16799357 18977604 28466406 33598714 50398071 56932812 67197428 100796142 151194213 201592284 302388426 604776852 890365921 1780731842 2671097763 3561463684 5342195526 8013293289 10684391052 16026586578 32053173156