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117986187690 = 23257432101287
BaseRepresentation
bin110110111100010000…
…1100101100110101010
3102021112122211100100100
41231320201211212222
53413113431001230
6130111353250230
711344544022330
oct1557041454652
9367478740310
10117986187690
1146046144128
121aa49403976
13b183c15157
1459d3ad3b50
1531082b5660
hex1b788659aa

117986187690 has 144 divisors (see below), whose sum is σ = 358933880448. Its totient is φ = 26340842304.

The previous prime is 117986187673. The next prime is 117986187703. The reversal of 117986187690 is 96781689711.

117986187690 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 8 + 618 + 7 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×1179861876902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1114227 + ... + 1215513.

It is an arithmetic number, because the mean of its divisors is an integer number (2492596392).

Almost surely, 2117986187690 is an apocalyptic number.

117986187690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117986187690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179466940224).

117986187690 is an abundant number, since it is smaller than the sum of its proper divisors (240947692758).

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

117986187690 is a wasteful number, since it uses less digits than its factorization.

117986187690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101393 (or 101347 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 117986187690 in words is "one hundred seventeen billion, nine hundred eighty-six million, one hundred eighty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 63 70 86 90 105 126 129 210 215 258 301 315 387 430 602 630 645 774 903 1290 1505 1806 1849 1935 2709 3010 3698 3870 4515 5418 5547 9030 9245 11094 12943 13545 16641 18490 25886 27090 27735 33282 38829 55470 64715 77658 83205 101287 116487 129430 166410 194145 202574 232974 303861 388290 506435 582435 607722 709009 911583 1012870 1164870 1418018 1519305 1823166 2127027 3038610 3545045 4254054 4355341 4557915 6381081 7090090 8710682 9115830 10635135 12762162 13066023 21270270 21776705 26132046 30487387 31905405 39198069 43553410 60974774 63810810 65330115 78396138 91462161 130660230 152436935 182924322 187279663 195990345 274386483 304873870 374559326 391980690 457310805 548772966 561838989 914621610 936398315 1123677978 1310957641 1371932415 1685516967 1872796630 2621915282 2743864830 2809194945 3371033934 3932872923 5618389890 6554788205 7865745846 8427584835 11798618769 13109576410 16855169670 19664364615 23597237538 39328729230 58993093845 117986187690