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10427161272 = 2331139496823
BaseRepresentation
bin10011011011000000…
…11101101010111000
3222220200112200020020
421231200131222320
5132323323130042
64442402130440
7516252260043
oct115540355270
928820480206
1010427161272
114470951660
122030050a20
13ca234b918
1470cb97c5a
154106393ec
hex26d81dab8

10427161272 has 32 divisors (see below), whose sum is σ = 28437713280. Its totient is φ = 3159745760.

The previous prime is 10427161247. The next prime is 10427161279. The reversal of 10427161272 is 27216172401.

10427161272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427161279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19748148 + ... + 19748675.

It is an arithmetic number, because the mean of its divisors is an integer number (888678540).

Almost surely, 210427161272 is an apocalyptic number.

10427161272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10427161272 is an abundant number, since it is smaller than the sum of its proper divisors (18010552008).

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

10427161272 is a wasteful number, since it uses less digits than its factorization.

10427161272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39496843 (or 39496839 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 10427161272 in words is "ten billion, four hundred twenty-seven million, one hundred sixty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 39496823 78993646 118490469 157987292 236980938 315974584 434465053 473961876 868930106 947923752 1303395159 1737860212 2606790318 3475720424 5213580636 10427161272