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132631387082505 = 3253334788384687
BaseRepresentation
bin11110001010000010100110…
…101101101000111100001001
3122101121102210102001012002100
4132022002212231220330021
5114341013040043120010
61150030003523224013
736636205261645653
oct3612024655507411
9571542712035070
10132631387082505
1139295723351213
1212a60a27218009
135901117316b0c
1424a75716496d3
1510500a7bb02c0
hex78a0a6b68f09

132631387082505 has 24 divisors (see below), whose sum is σ = 229901300883072. Its totient is φ = 70734617744544.

The previous prime is 132631387082471. The next prime is 132631387082539. The reversal of 132631387082505 is 505280783136231.

132631387082505 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 3 + 1 + 387 + 0 + 8 + 250 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (132631387082471) and next prime (132631387082539).

It is not a de Polignac number, because 132631387082505 - 29 = 132631387081993 is a prime.

It is a super-3 number, since 3×1326313870825053 (a number of 43 digits) contains 333 as substring.

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, 42691729 + ... + 45692958.

It is an arithmetic number, because the mean of its divisors is an integer number (9579220870128).

Almost surely, 2132631387082505 is an apocalyptic number.

132631387082505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132631387082505 is a deficient number, since it is larger than the sum of its proper divisors (97269913800567).

132631387082505 is a wasteful number, since it uses less digits than its factorization.

132631387082505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88418045 (or 88418042 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 132631387082505 in words is "one hundred thirty-two trillion, six hundred thirty-one billion, three hundred eighty-seven million, eighty-two thousand, five hundred five".

Divisors: 1 3 5 9 15 45 33347 100041 166735 300123 500205 1500615 88384687 265154061 441923435 795462183 1325770305 3977310915 2947364157389 8842092472167 14736820786945 26526277416501 44210462360835 132631387082505