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132014535531138 = 23313311776031847
BaseRepresentation
bin11110000001000100000111…
…011111101101101010000010
3122022102110120222000121221000
4132001010013133231222002
5114300411232043444023
61144434350153512430
736543510154165401
oct3601040737555202
9568373528017830
10132014535531138
1139078060771767
1212981374a12716
135887bc0370c50
1424857752c9638
15103e0036e0243
hex7811077eda82

132014535531138 has 64 divisors (see below), whose sum is σ = 315942407665920. Its totient is φ = 40618547473536.

The previous prime is 132014535531121. The next prime is 132014535531227. The reversal of 132014535531138 is 831135535410231.

132014535531138 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 4 + 53 + 553 + 11 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132014535531093 and 132014535531102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18870331 + ... + 24902177.

It is an arithmetic number, because the mean of its divisors is an integer number (4936600119780).

Almost surely, 2132014535531138 is an apocalyptic number.

132014535531138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

132014535531138 is an abundant number, since it is smaller than the sum of its proper divisors (183927872134782).

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

132014535531138 is a wasteful number, since it uses less digits than its factorization.

132014535531138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063048 (or 6063042 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 132014535531138 in words is "one hundred thirty-two trillion, fourteen billion, five hundred thirty-five million, five hundred thirty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 31177 62354 93531 187062 280593 405301 561186 810602 841779 1215903 1683558 2431806 3647709 6031847 7295418 10943127 12063694 18095541 21886254 36191082 54286623 78414011 108573246 156828022 162859869 235242033 325719738 470484066 705726099 1411452198 2117178297 4234356594 188054893919 376109787838 564164681757 1128329363514 1692494045271 2444713620947 3384988090542 4889427241894 5077482135813 7334140862841 10154964271626 14668281725682 22002422588523 44004845177046 66007267765569 132014535531138