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13142920752 = 2432137020791
BaseRepresentation
bin11000011110110000…
…10000111000110000
31020220221201112212200
430033120100320300
5203404041431002
610012054223200
7643456661133
oct141730207060
936827645780
1013142920752
115634921985
122669654b00
131315b925b0
148c973021a
1551dc83b1c
hex30f610e30

13142920752 has 60 divisors (see below), whose sum is σ = 39611308464. Its totient is φ = 4043975040.

The previous prime is 13142920733. The next prime is 13142920757. The reversal of 13142920752 is 25702924131.

13142920752 is a `hidden beast` number, since 1 + 314 + 292 + 0 + 7 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13142920757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3508524 + ... + 3512267.

Almost surely, 213142920752 is an apocalyptic number.

13142920752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13142920752 is an abundant number, since it is smaller than the sum of its proper divisors (26468387712).

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

13142920752 is a wasteful number, since it uses less digits than its factorization.

13142920752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020818 (or 7020809 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13142920752 in words is "thirteen billion, one hundred forty-two million, nine hundred twenty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 7020791 14041582 21062373 28083164 42124746 56166328 63187119 84249492 91270283 112332656 126374238 168498984 182540566 252748476 273810849 336997968 365081132 505496952 547621698 730162264 821432547 1010993904 1095243396 1460324528 1642865094 2190486792 3285730188 4380973584 6571460376 13142920752