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104386132116 = 223271009941017
BaseRepresentation
bin110000100110111100…
…1011111100010010100
3100222102211220221101100
41201031321133202110
53202240322211431
6115542045030100
710353533324460
oct1411571374224
9328384827340
10104386132116
11402a7283082
1218292855330
139ac74284a6
1450a37a94a0
152aae3344e6
hex184de5f894

104386132116 has 72 divisors (see below), whose sum is σ = 301597150400. Its totient is φ = 29820928896.

The previous prime is 104386132111. The next prime is 104386132127. The reversal of 104386132116 is 611231683401.

104386132116 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 8 + 613 + 21 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104386132111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2524440 + ... + 2565456.

Almost surely, 2104386132116 is an apocalyptic number.

It is an amenable number.

104386132116 is an abundant number, since it is smaller than the sum of its proper divisors (197211018284).

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

104386132116 is a wasteful number, since it uses less digits than its factorization.

104386132116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51133 (or 51128 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 104386132116 in words is "one hundred four billion, three hundred eighty-six million, one hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 10099 20198 30297 40396 41017 60594 70693 82034 90891 121188 123051 141386 164068 181782 212079 246102 282772 287119 363564 369153 424158 492204 574238 636237 738306 848316 861357 1148476 1272474 1476612 1722714 2544948 2584071 3445428 5168142 10336284 414230683 828461366 1242692049 1656922732 2485384098 2899614781 3728076147 4970768196 5799229562 7456152294 8698844343 11598459124 14912304588 17397688686 26096533029 34795377372 52193066058 104386132116