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10257431346 = 232569857297
BaseRepresentation
bin10011000110110001…
…11111101100110010
3222110212011111112200
421203120333230302
5132001400300341
64413500204030
7512121504441
oct114330775462
928425144480
1010257431346
114394063a98
121ba3239616
13c76132506
146d4414d58
154007addb6
hex26363fb32

10257431346 has 12 divisors (see below), whose sum is σ = 22224434622. Its totient is φ = 3419143776.

The previous prime is 10257431323. The next prime is 10257431347. The reversal of 10257431346 is 64313475201.

10257431346 is a `hidden beast` number, since 10 + 2 + 574 + 31 + 3 + 46 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9346055625 + 911375721 = 96675^2 + 30189^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10257431346.

It is not an unprimeable number, because it can be changed into a prime (10257431347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 284928631 + ... + 284928666.

Almost surely, 210257431346 is an apocalyptic number.

10257431346 is an abundant number, since it is smaller than the sum of its proper divisors (11967003276).

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

10257431346 is a wasteful number, since it uses less digits than its factorization.

10257431346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569857305 (or 569857302 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10257431346 in words is "ten billion, two hundred fifty-seven million, four hundred thirty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 569857297 1139714594 1709571891 3419143782 5128715673 10257431346