Search a number
-
+
117545575705740 = 223257137176164573
BaseRepresentation
bin11010101110100000110110…
…010010001110110010001100
3120102012020200021110012121100
4122232200312102032302030
5110401331314340040430
61053555405250103100
733521246642001210
oct3256406622166214
9512166607405540
10117545575705740
11344a9887096246
121122515357aa90
135078666cc9670
14210534428a940
15d8c96bca2960
hex6ae83648ec8c

117545575705740 has 144 divisors (see below), whose sum is σ = 438836816029248. Its totient is φ = 24800824760832.

The previous prime is 117545575705661. The next prime is 117545575705829. The reversal of 117545575705740 is 47507575545711.

117545575705740 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 4 + 5 + 5 + 7 + 57 + 0 + 574 + 0 = 666.

It is a super-3 number, since 3×1175455757057403 (a number of 43 digits) contains 333 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3588065907 + ... + 3588098666.

It is an arithmetic number, because the mean of its divisors is an integer number (3047477889092).

Almost surely, 2117545575705740 is an apocalyptic number.

117545575705740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117545575705740 is an abundant number, since it is smaller than the sum of its proper divisors (321291240323508).

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

117545575705740 is a wasteful number, since it uses less digits than its factorization.

117545575705740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7176164608 (or 7176164603 counting only the distinct ones).

The product of its (nonzero) digits is 120050000, while the sum is 63.

The spelling of 117545575705740 in words is "one hundred seventeen trillion, five hundred forty-five billion, five hundred seventy-five million, seven hundred five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 7176164573 14352329146 21528493719 28704658292 35880822865 43056987438 50233152011 64585481157 71761645730 86113974876 93290139449 100466304022 107642468595 129170962314 143523291460 150699456033 186580278898 200932608044 215284937190 251165760055 258341924628 279870418347 301398912066 322927405785 373160557796 430569874380 452098368099 466450697245 502331520110 559740836694 602797824132 645854811570 653030976143 753497280165 839611255041 904196736198 932901394490 1004663040220 1119481673388 1291709623140 1306061952286 1399352091735 1506994560330 1679222510082 1808393472396 1865802788980 1959092928429 2260491840495 2612123904572 2798704183470 3013989120660 3265154880715 3358445020164 3918185856858 4198056275205 4520983680990 5597408366940 5877278785287 6530309761430 7836371713716 8396112550410 9041967361980 9795464642145 11754557570574 13060619522860 16792225100820 19590929284290 23509115141148 29386393926435 39181858568580 58772787852870 117545575705740