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55055023632 = 24327209926021
BaseRepresentation
bin110011010001100010…
…001111111000010000
312021002212201222102100
4303101202033320100
51400223041224012
641143020120400
73656212656660
oct632142177020
9167085658370
1055055023632
1121392142134
12a805996100
13526512547b
142943c361a0
1516735698dc
hexcd188fe10

55055023632 has 120 divisors (see below), whose sum is σ = 176179348800. Its totient is φ = 15721908480.

The previous prime is 55055023609. The next prime is 55055023633. The reversal of 55055023632 is 23632055055.

55055023632 is a `hidden beast` number, since 5 + 50 + 550 + 23 + 6 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55055023633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2102782 + ... + 2128802.

It is an arithmetic number, because the mean of its divisors is an integer number (1468161240).

Almost surely, 255055023632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55055023632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88089674400).

55055023632 is an abundant number, since it is smaller than the sum of its proper divisors (121124325168).

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

55055023632 is a wasteful number, since it uses less digits than its factorization.

55055023632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28141 (or 28132 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 55055023632 its reverse (23632055055), we get a palindrome (78687078687).

The spelling of 55055023632 in words is "fifty-five billion, fifty-five million, twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2099 4198 6297 8396 12594 14693 16792 18891 25188 26021 29386 33584 37782 44079 50376 52042 58772 75564 78063 88158 100752 104084 117544 132237 151128 156126 176316 182147 208168 234189 235088 264474 302256 312252 352632 364294 416336 468378 528948 546441 624504 705264 728588 936756 1057896 1092882 1249008 1457176 1639323 1873512 2115792 2185764 2914352 3278646 3747024 4371528 6557292 8743056 13114584 26229168 54618079 109236158 163854237 218472316 327708474 382326553 436944632 491562711 655416948 764653106 873889264 983125422 1146979659 1310833896 1529306212 1966250844 2293959318 2621667792 3058612424 3440938977 3932501688 4587918636 6117224848 6881877954 7865003376 9175837272 13763755908 18351674544 27527511816 55055023632