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10457104064 = 261116978753
BaseRepresentation
bin10011011110100101…
…01011111011000000
3222222202212221000112
421233102223323000
5132404004312224
64445352010452
7520064626601
oct115722537300
928882787015
1010457104064
114486843070
12203a090a28
13ca8603854
14712b4dda8
154130a130e
hex26f4abec0

10457104064 has 56 divisors (see below), whose sum is σ = 22653181008. Its totient is φ = 4749885440.

The previous prime is 10457104061. The next prime is 10457104087. The reversal of 10457104064 is 46040175401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10457104064.

It is not an unprimeable number, because it can be changed into a prime (10457104061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1190312 + ... + 1199064.

Almost surely, 210457104064 is an apocalyptic number.

It is an amenable number.

10457104064 is an abundant number, since it is smaller than the sum of its proper divisors (12196076944).

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

10457104064 is a wasteful number, since it uses less digits than its factorization.

10457104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10473 (or 10463 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

Adding to 10457104064 its reverse (46040175401), we get a palindrome (56497279465).

The spelling of 10457104064 in words is "ten billion, four hundred fifty-seven million, one hundred four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1697 3394 6788 8753 13576 17506 18667 27152 35012 37334 54304 70024 74668 96283 108608 140048 149336 192566 280096 298672 385132 560192 597344 770264 1194688 1540528 3081056 6162112 14853841 29707682 59415364 118830728 163392251 237661456 326784502 475322912 653569004 950645824 1307138008 2614276016 5228552032 10457104064