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18696820688 = 24713314011033
BaseRepresentation
bin10001011010011010…
…101101011111010000
31210021000100220022022
4101122122231133100
5301242341230223
612331133431012
71231216232210
oct213232553720
953230326268
1018696820688
117a24960127
12375963b468
1319bc6c8810
14c951b8240
1574664dac8
hex45a6ad7d0

18696820688 has 160 divisors (see below), whose sum is σ = 46182377472. Its totient is φ = 7133184000.

The previous prime is 18696820679. The next prime is 18696820739. The reversal of 18696820688 is 88602869681.

It is a super-2 number, since 2×186968206882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 18696820688.

It is a congruent number.

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, 18099020 + ... + 18100052.

Almost surely, 218696820688 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 18696820688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23091188736).

18696820688 is an abundant number, since it is smaller than the sum of its proper divisors (27485556784).

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

18696820688 is a wasteful number, since it uses less digits than its factorization.

18696820688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 62.

The spelling of 18696820688 in words is "eighteen billion, six hundred ninety-six million, eight hundred twenty thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 401 403 434 496 728 802 806 868 1033 1456 1604 1612 1736 2066 2807 2821 3208 3224 3472 4132 5213 5614 5642 6416 6448 7231 8264 10426 11228 11284 12431 13429 14462 16528 20852 22456 22568 24862 26858 28924 32023 36491 41704 44912 45136 49724 53716 57848 64046 72982 83408 87017 94003 99448 107432 115696 128092 145964 161603 174034 188006 198896 214864 224161 256184 291928 323206 348068 376012 414233 416299 448322 512368 583856 646412 696136 752024 828466 832598 896644 1131221 1292824 1392272 1504048 1656932 1665196 1793288 2262442 2585648 2899631 2914093 3313864 3330392 3586576 4524884 5385029 5799262 5828186 6627728 6660784 9049768 10770058 11598524 11656372 12841223 18099536 21540116 23197048 23312744 25682446 37695203 43080232 46394096 46625488 51364892 75390406 86160464 89888561 102729784 150780812 166935899 179777122 205459568 301561624 333871798 359554244 603123248 667743596 719108488 1168551293 1335487192 1438216976 2337102586 2670974384 4674205172 9348410344 18696820688