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3525414316512 = 2531117196380031
BaseRepresentation
bin110011010011010011000…
…100010110100111100000
3110111000201012000000220120
4303103103010112213200
5430230022031112022
611255315235440240
7512463024154614
oct63232304264740
913430635000816
103525414316512
11113a135524340
1248b2ba156080
131c75a2c98c8a
14c28b9513344
1561a865d9d5c
hex334d31169e0

3525414316512 has 96 divisors (see below), whose sum is σ = 10689357901824. Its totient is φ = 1005465753600.

The previous prime is 3525414316469. The next prime is 3525414316513. The reversal of 3525414316512 is 2156134145253.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×35254143165122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3525414316513) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 98172064 + ... + 98207967.

It is an arithmetic number, because the mean of its divisors is an integer number (111347478144).

Almost surely, 23525414316512 is an apocalyptic number.

3525414316512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3525414316512 is an abundant number, since it is smaller than the sum of its proper divisors (7163943585312).

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

3525414316512 is a wasteful number, since it uses less digits than its factorization.

3525414316512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196380072 (or 196380064 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The spelling of 3525414316512 in words is "three trillion, five hundred twenty-five billion, four hundred fourteen million, three hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 196380031 392760062 589140093 785520124 1178280186 1571040248 2160180341 2356560372 3142080496 3338460527 4320360682 4713120744 6284160992 6480541023 6676921054 8640721364 9426241488 10015381581 12961082046 13353842108 17281442728 18852482976 20030763162 25922164092 26707684216 34562885456 36723065797 40061526324 51844328184 53415368432 69125770912 73446131594 80123052648 103688656368 106830736864 110169197391 146892263188 160246105296 207377312736 220338394782 293784526376 320492210592 440676789564 587569052752 881353579128 1175138105504 1762707158256 3525414316512