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10264868857836 = 2233713134276879
BaseRepresentation
bin1001010101011111100111…
…0111001010011111101100
31100100022102100201100102000
42111113321313022133230
52321134422411422321
633455340551532300
72106420006444645
oct225277167123754
940308370640360
1010264868857836
1132a834095822a
12119949798a090
13595c85837b38
14276b725886cc
1512c02d2b9826
hex955f9dca7ec

10264868857836 has 96 divisors (see below), whose sum is σ = 27073676851200. Its totient is φ = 3362652558720.

The previous prime is 10264868857801. The next prime is 10264868857847. The reversal of 10264868857836 is 63875886846201.

10264868857836 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 48 + 6 + 8 + 8 + 578 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261645 + ... + 4538523.

It is an arithmetic number, because the mean of its divisors is an integer number (282017467200).

Almost surely, 210264868857836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10264868857836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536838425600).

10264868857836 is an abundant number, since it is smaller than the sum of its proper divisors (16808807993364).

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

10264868857836 is a wasteful number, since it uses less digits than its factorization.

10264868857836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277276 (or 4277268 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 10264868857836 in words is "ten trillion, two hundred sixty-four billion, eight hundred sixty-eight million, eight hundred fifty-seven thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 313 426 626 639 852 939 1252 1278 1878 1917 2556 2817 3756 3834 5634 7668 8451 11268 16902 22223 33804 44446 66669 88892 133338 200007 266676 400014 600021 800028 1200042 2400084 4276879 8553758 12830637 17107516 25661274 38491911 51322548 76983822 115475733 153967644 230951466 303658409 461902932 607316818 910975227 1214633636 1338663127 1821950454 2677326254 2732925681 3643900908 4015989381 5354652508 5465851362 8031978762 8198777043 10931702724 12047968143 16063957524 16397554086 24095936286 32795108172 36143904429 48191872572 72287808858 95045082017 144575617716 190090164034 285135246051 380180328068 570270492102 855405738153 1140540984204 1710811476306 2566217214459 3421622952612 5132434428918 10264868857836