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10132127064 = 2332373803351
BaseRepresentation
bin10010110111110101…
…11111110101011000
3222011010101101101100
421123322333311120
5131222311031224
64353222351400
7506040442023
oct113372776530
928133341340
1010132127064
11432a35a034
121b6928b560
13c5619c177
146c19181ba
153e47abac9
hex25bebfd58

10132127064 has 48 divisors (see below), whose sum is σ = 28182838320. Its totient is φ = 3286094400.

The previous prime is 10132127021. The next prime is 10132127081. The reversal of 10132127064 is 46072123101.

10132127064 is a `hidden beast` number, since 10 + 1 + 321 + 270 + 64 = 666.

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, 1899012 + ... + 1904339.

It is an arithmetic number, because the mean of its divisors is an integer number (587142465).

Almost surely, 210132127064 is an apocalyptic number.

It is an amenable number.

10132127064 is an abundant number, since it is smaller than the sum of its proper divisors (18050711256).

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

10132127064 is a wasteful number, since it uses less digits than its factorization.

10132127064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803400 (or 3803393 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10132127064 in words is "ten billion, one hundred thirty-two million, one hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 3803351 7606702 11410053 15213404 22820106 30426808 34230159 45640212 68460318 91280424 136920636 140723987 273841272 281447974 422171961 562895948 844343922 1125791896 1266515883 1688687844 2533031766 3377375688 5066063532 10132127064