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151401606432 = 2537122212677
BaseRepresentation
bin1000110100000000111…
…1010010110100100000
3112110210102211111102220
42031000033102310200
54440032302401212
6153315233511040
713636605264246
oct2150017226440
9473712744386
10151401606432
115923329487a
1225414112480
131137aa7118b
1474839a0796
153e11b9038c
hex23403d2d20

151401606432 has 48 divisors (see below), whose sum is σ = 403026829632. Its totient is φ = 49756394240.

The previous prime is 151401606431. The next prime is 151401606437. The reversal of 151401606432 is 234606104151.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 151401606393 and 151401606402.

It is not an unprimeable number, because it can be changed into a prime (151401606431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11099523 + ... + 11113154.

It is an arithmetic number, because the mean of its divisors is an integer number (8396392284).

Almost surely, 2151401606432 is an apocalyptic number.

151401606432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151401606432 is an abundant number, since it is smaller than the sum of its proper divisors (251625223200).

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

151401606432 is a wasteful number, since it uses less digits than its factorization.

151401606432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22212761 (or 22212753 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 151401606432 in words is "one hundred fifty-one billion, four hundred one million, six hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 22212677 44425354 66638031 88850708 133276062 177701416 266552124 355402832 533104248 710805664 1066208496 1577100067 2132416992 3154200134 4731300201 6308400268 9462600402 12616800536 18925200804 25233601072 37850401608 50467202144 75700803216 151401606432