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55510440984 = 233243120114929
BaseRepresentation
bin110011101100101011…
…100001110000011000
312022021121200120120200
4303230223201300120
51402141133102414
641300125222200
74003412651235
oct635453416030
9168247616520
1055510440984
11215a6218a09
12a912401960
13530859abab
14298850478c
15169d528109
hexcecae1c18

55510440984 has 96 divisors (see below), whose sum is σ = 153975478800. Its totient is φ = 18056908800.

The previous prime is 55510440977. The next prime is 55510440989. The reversal of 55510440984 is 48904401555.

55510440984 is a `hidden beast` number, since 5 + 5 + 510 + 4 + 40 + 98 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55510440989) 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 23 ways as a sum of consecutive naturals, for example, 3710832 + ... + 3725760.

Almost surely, 255510440984 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 55510440984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76987739400).

55510440984 is an abundant number, since it is smaller than the sum of its proper divisors (98465037816).

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

55510440984 is a wasteful number, since it uses less digits than its factorization.

55510440984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16185 (or 16178 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 55510440984 in words is "fifty-five billion, five hundred ten million, four hundred forty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1201 1548 2402 3096 3603 4804 7206 9608 10809 14412 14929 21618 28824 29858 43236 44787 51643 59716 86472 89574 103286 119432 134361 154929 179148 206572 268722 309858 358296 413144 464787 537444 619716 641947 929574 1074888 1239432 1283894 1859148 1925841 2567788 3718296 3851682 5135576 5777523 7703364 11555046 15406728 17929729 23110092 35859458 46220184 53789187 71718916 107578374 143437832 161367561 215156748 322735122 430313496 645470244 770978347 1290940488 1541956694 2312935041 3083913388 4625870082 6167826776 6938805123 9251740164 13877610246 18503480328 27755220492 55510440984