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13986325296 = 24331910931559
BaseRepresentation
bin11010000011010011…
…00110001100110000
31100002201201221102000
431001221212030300
5212120444402141
610231503254000
71003410542406
oct150151461460
940081657360
1013986325296
115a27a09229
122863baa300
13141b831838
14969757476
1556cd315b6
hex341a66330

13986325296 has 160 divisors (see below), whose sum is σ = 42324672000. Its totient is φ = 4409862912.

The previous prime is 13986325271. The next prime is 13986325319. The reversal of 13986325296 is 69252368931.

13986325296 is a `hidden beast` number, since 1 + 3 + 9 + 86 + 32 + 529 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8970565 + ... + 8972123.

It is an arithmetic number, because the mean of its divisors is an integer number (264529200).

Almost surely, 213986325296 is an apocalyptic number.

13986325296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13986325296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162336000).

13986325296 is an abundant number, since it is smaller than the sum of its proper divisors (28338346704).

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

13986325296 is a wasteful number, since it uses less digits than its factorization.

13986325296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2676 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 13986325296 in words is "thirteen billion, nine hundred eighty-six million, three hundred twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1093 1368 1559 2052 2186 2736 3118 3279 4104 4372 4677 6236 6558 8208 8744 9354 9837 12472 13116 14031 17488 18708 19674 20767 24944 26232 28062 29511 29621 37416 39348 41534 42093 52464 56124 59022 59242 62301 74832 78696 83068 84186 88863 112248 118044 118484 124602 157392 166136 168372 177726 186903 224496 236088 236968 249204 266589 332272 336744 355452 373806 472176 473936 498408 533178 560709 673488 710904 747612 799767 996816 1066356 1121418 1421808 1495224 1599534 1703987 2132712 2242836 2990448 3199068 3407974 4265424 4485672 5111961 6398136 6815948 8971344 10223922 12796272 13631896 15335883 20447844 27263792 30671766 32375753 40895688 46007649 61343532 64751506 81791376 92015298 97127259 122687064 129503012 184030596 194254518 245374128 259006024 291381777 368061192 388509036 518012048 582763554 736122384 777018072 874145331 1165527108 1554036144 1748290662 2331054216 3496581324 4662108432 6993162648 13986325296