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10457674704 = 2432137530093
BaseRepresentation
bin10011011110101001…
…10111001111010000
3222222210221220210100
421233110313033100
5132404131042304
64445412132400
7520102524351
oct115724671720
928883856710
1010457674704
1144870a2874
12203a307100
13ca87734c9
14712c5bd28
15413165439
hex26f5373d0

10457674704 has 60 divisors (see below), whose sum is σ = 29480647716. Its totient is φ = 3460440576.

The previous prime is 10457674697. The next prime is 10457674741. The reversal of 10457674704 is 40747675401.

10457674704 is a `hidden beast` number, since 1 + 0 + 4 + 576 + 7 + 4 + 70 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5004147600 + 5453527104 = 70740^2 + 73848^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10457674704.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 245319 + ... + 284774.

Almost surely, 210457674704 is an apocalyptic number.

It is an amenable number.

10457674704 is an abundant number, since it is smaller than the sum of its proper divisors (19022973012).

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

10457674704 is a wasteful number, since it uses less digits than its factorization.

10457674704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530244 (or 530235 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 10457674704 in words is "ten billion, four hundred fifty-seven million, six hundred seventy-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2466 3288 4932 6576 9864 19728 530093 1060186 1590279 2120372 3180558 4240744 4770837 6361116 8481488 9541674 12722232 19083348 25444464 38166696 72622741 76333392 145245482 217868223 290490964 435736446 580981928 653604669 871472892 1161963856 1307209338 1742945784 2614418676 3485891568 5228837352 10457674704