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10132358672 = 244634992741
BaseRepresentation
bin10010110111110111…
…11000011000010000
3222011010211011002102
421123323320120100
5131222340434142
64353231335532
7506042425202
oct113373703020
928133734072
1010132358672
11432a4a8047
121b693815a8
13c56250707
146c1978772
153e4805532
hex25bef8610

10132358672 has 40 divisors (see below), whose sum is σ = 19720464000. Its totient is φ = 5043265920.

The previous prime is 10132358657. The next prime is 10132358681. The reversal of 10132358672 is 27685323101.

10132358672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 3695222 + ... + 3697962.

It is an arithmetic number, because the mean of its divisors is an integer number (493011600).

Almost surely, 210132358672 is an apocalyptic number.

It is an amenable number.

10132358672 is a deficient number, since it is larger than the sum of its proper divisors (9588105328).

10132358672 is a wasteful number, since it uses less digits than its factorization.

10132358672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 10132358672 in words is "ten billion, one hundred thirty-two million, three hundred fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 463 499 926 998 1852 1996 2741 3704 3992 5482 7408 7984 10964 21928 43856 231037 462074 924148 1269083 1367759 1848296 2538166 2735518 3696592 5076332 5471036 10152664 10942072 20305328 21884144 633272417 1266544834 2533089668 5066179336 10132358672