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93431300214132 = 223247493311193887
BaseRepresentation
bin10101001111100110101011…
…011101011100110101110100
3110020210221111221210112202100
4111033212223131130311310
544221234300323323012
6530413425145342100
725452121501203456
oct2517465335346564
9406727457715670
1093431300214132
1127851aa02493a1
12a58b741497930
1340196c2a0231a
141910155b622d6
15ac05688268dc
hex54f9ab75cd74

93431300214132 has 72 divisors (see below), whose sum is σ = 241247450336256. Its totient is φ = 30474951655104.

The previous prime is 93431300214097. The next prime is 93431300214151. The reversal of 93431300214132 is 23141200313439.

93431300214132 is a `hidden beast` number, since 9 + 3 + 4 + 3 + 1 + 300 + 214 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2749693 + ... + 13943579.

It is an arithmetic number, because the mean of its divisors is an integer number (3350659032448).

Almost surely, 293431300214132 is an apocalyptic number.

It is an amenable number.

93431300214132 is an abundant number, since it is smaller than the sum of its proper divisors (147816150122124).

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

93431300214132 is a wasteful number, since it uses less digits than its factorization.

93431300214132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11198877 (or 11198872 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 93431300214132 in words is "ninety-three trillion, four hundred thirty-one billion, three hundred million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 4933 9866 14799 19732 29598 44397 59196 88794 177588 231851 463702 695553 927404 1391106 2086659 2782212 4173318 8346636 11193887 22387774 33581661 44775548 67163322 100744983 134326644 201489966 402979932 526112689 1052225378 1578338067 2104450756 3156676134 4735014201 6313352268 9470028402 18940056804 55219444571 110438889142 165658333713 220877778284 331316667426 496975001139 662633334852 993950002278 1987900004556 2595313894837 5190627789674 7785941684511 10381255579348 15571883369022 23357825053533 31143766738044 46715650107066 93431300214132