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87052261824 = 26321113739309
BaseRepresentation
bin101000100010010111…
…0000001100111000000
322022200211012002112100
41101010232001213000
52411240334334244
6103554040030400
76201144005463
oct1210456014700
9268624162470
1087052261824
1133a11806840
1214a55762400
1382942087c8
1442db61b2da
1523e76acb69
hex1444b819c0

87052261824 has 84 divisors (see below), whose sum is σ = 272203209720. Its totient is φ = 26379471360.

The previous prime is 87052261823. The next prime is 87052261847. The reversal of 87052261824 is 42816225078.

87052261824 is a `hidden beast` number, since 8 + 7 + 0 + 5 + 2 + 2 + 618 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87052261824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87052261823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6863319 + ... + 6875990.

Almost surely, 287052261824 is an apocalyptic number.

It is an amenable number.

87052261824 is an abundant number, since it is smaller than the sum of its proper divisors (185150947896).

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

87052261824 is a wasteful number, since it uses less digits than its factorization.

87052261824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739338 (or 13739325 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 87052261824 in words is "eighty-seven billion, fifty-two million, two hundred sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 13739309 27478618 41217927 54957236 82435854 109914472 123653781 151132399 164871708 219828944 247307562 302264798 329743416 439657888 453397197 494615124 604529596 659486832 879315776 906794394 989230248 1209059192 1318973664 1360191591 1813588788 1978460496 2418118384 2637947328 2720383182 3627177576 3956920992 4836236768 5440766364 7254355152 7913841984 9672473536 10881532728 14508710304 21763065456 29017420608 43526130912 87052261824