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132007575213414 = 23217431397304619
BaseRepresentation
bin11110000000111101101000…
…101000001101010101100110
3122022101210121212221211222200
4132000331220220031111212
5114300303003223312124
61144431235354035330
736543142526362035
oct3600755050152546
9568353555854880
10132007575213414
1139075109860a6a
121297bb51a18b46
135887351350054
1424852b4b3c71c
15103dc47613bc9
hex780f68a0d566

132007575213414 has 24 divisors (see below), whose sum is σ = 302840907843240. Its totient is φ = 41414141243328.

The previous prime is 132007575213383. The next prime is 132007575213427. The reversal of 132007575213414 is 414312575700231.

132007575213414 is a `hidden beast` number, since 1 + 3 + 20 + 0 + 7 + 575 + 2 + 13 + 41 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132007575213414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215698652004 + ... + 215698652615.

It is an arithmetic number, because the mean of its divisors is an integer number (12618371160135).

Almost surely, 2132007575213414 is an apocalyptic number.

132007575213414 is an abundant number, since it is smaller than the sum of its proper divisors (170833332629826).

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

132007575213414 is a wasteful number, since it uses less digits than its factorization.

132007575213414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431397304644 (or 431397304641 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 132007575213414 in words is "one hundred thirty-two trillion, seven billion, five hundred seventy-five million, two hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 431397304619 862794609238 1294191913857 2588383827714 3882575741571 7333754178523 7765151483142 14667508357046 22001262535569 44002525071138 66003787606707 132007575213414