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16987379136 = 263713972263
BaseRepresentation
bin11111101001000011…
…01101010111000000
31121211212202021100020
433310201231113000
5234242232113021
611445350253440
71140651224460
oct176441552700
947755667306
1016987379136
117227a29412
123361057280
1317a94c4940
14b72155ba0
156965327c6
hex3f486d5c0

16987379136 has 112 divisors (see below), whose sum is σ = 55317932544. Its totient is φ = 4480183296.

The previous prime is 16987379117. The next prime is 16987379141. The reversal of 16987379136 is 63197378961.

16987379136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 16987379136.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 468660 + ... + 503603.

It is an arithmetic number, because the mean of its divisors is an integer number (493910112).

Almost surely, 216987379136 is an apocalyptic number.

16987379136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16987379136 is an abundant number, since it is smaller than the sum of its proper divisors (38330553408).

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

16987379136 is a wasteful number, since it uses less digits than its factorization.

16987379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972298 (or 972288 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 60.

The spelling of 16987379136 in words is "sixteen billion, nine hundred eighty-seven million, three hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 972263 1944526 2916789 3889052 5833578 6805841 7778104 11667156 12639419 13611682 15556208 20417523 23334312 25278838 27223364 31112416 37918257 40835046 46668624 50557676 54446728 62224832 75836514 81670092 88475933 93337248 101115352 108893456 151673028 163340184 176951866 186674496 202230704 217786912 265427799 303346056 326680368 353903732 404461408 435573824 530855598 606692112 653360736 707807464 808922816 1061711196 1213384224 1306721472 1415614928 2123422392 2426768448 2831229856 4246844784 5662459712 8493689568 16987379136