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13390126128 = 2432127732181
BaseRepresentation
bin11000111100001110…
…10001110000110000
31021120011212212220100
430132013101300300
5204410333014003
610052404512400
7652551123411
oct143607216060
937504785810
1013390126128
115751416a45
1227183ab700
131355166c72
149104bd808
15535814ba3
hex31e1d1c30

13390126128 has 60 divisors (see below), whose sum is σ = 37768876288. Its totient is φ = 4428224640.

The previous prime is 13390126103. The next prime is 13390126151. The reversal of 13390126128 is 82162109331.

13390126128 is a `hidden beast` number, since 1 + 3 + 39 + 0 + 1 + 2 + 612 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13390126092 and 13390126101.

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, 347803 + ... + 384378.

Almost surely, 213390126128 is an apocalyptic number.

13390126128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13390126128 is an abundant number, since it is smaller than the sum of its proper divisors (24378750160).

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

13390126128 is a wasteful number, since it uses less digits than its factorization.

13390126128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732322 (or 732313 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13390126128 in words is "thirteen billion, three hundred ninety million, one hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 2032 2286 3048 4572 6096 9144 18288 732181 1464362 2196543 2928724 4393086 5857448 6589629 8786172 11714896 13179258 17572344 26358516 35144688 52717032 92986987 105434064 185973974 278960961 371947948 557921922 743895896 836882883 1115843844 1487791792 1673765766 2231687688 3347531532 4463375376 6695063064 13390126128