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130527823261788 = 223250349531145531
BaseRepresentation
bin11101101011011011100000…
…100010011111000001011100
3122010011100010102121010220200
4131223123200202133001130
5114102031440223334123
61141335353150143500
736331216066333341
oct3553334042370134
9563140112533820
10130527823261788
11386545a2418057
12127811bbab1b90
1357aa94ab1c674
14243381a6c67c8
1510154dcb81143
hex76b6e089f05c

130527823261788 has 72 divisors (see below), whose sum is σ = 330610232324736. Its totient is φ = 43421599821600.

The previous prime is 130527823261729. The next prime is 130527823261813. The reversal of 130527823261788 is 887162328725031.

It is a happy number.

130527823261788 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 2 + 7 + 8 + 2 + 3 + 2 + 617 + 8 + 8 = 666.

130527823261788 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896834583 + ... + 896980113.

It is an arithmetic number, because the mean of its divisors is an integer number (4591808782288).

Almost surely, 2130527823261788 is an apocalyptic number.

130527823261788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130527823261788 is an abundant number, since it is smaller than the sum of its proper divisors (200082409062948).

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

130527823261788 is a wasteful number, since it uses less digits than its factorization.

130527823261788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195575 (or 195570 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 130527823261788 in words is "one hundred thirty trillion, five hundred twenty-seven billion, eight hundred twenty-three million, two hundred sixty-one thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 503 1006 1509 2012 3018 4527 6036 9054 18108 49531 99062 145531 148593 198124 291062 297186 436593 445779 582124 594372 873186 891558 1309779 1746372 1783116 2619558 5239116 24914093 49828186 73202093 74742279 99656372 146404186 149484558 219606279 224226837 292808372 298969116 439212558 448453674 658818837 878425116 896907348 1317637674 2635275348 7208295961 14416591922 21624887883 28833183844 43249775766 64874663649 86499551532 129749327298 259498654596 3625772868383 7251545736766 10877318605149 14503091473532 21754637210298 32631955815447 43509274420596 65263911630894 130527823261788