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13322010816 = 263319405763
BaseRepresentation
bin11000110100000110…
…11100000011000000
31021101102201021021000
430122003130003000
5204240413321231
610041532532000
7651063136452
oct143203340300
937342637230
1013322010816
115716a229a4
1226b9621000
13134400824a
1490542c2d2
1552e85c6e6
hex31a0dc0c0

13322010816 has 112 divisors (see below), whose sum is σ = 41225622400. Its totient is φ = 4206940416.

The previous prime is 13322010799. The next prime is 13322010817. The reversal of 13322010816 is 61801022331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13322010816.

It is not an unprimeable number, because it can be changed into a prime (13322010817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170050 + ... + 235713.

Almost surely, 213322010816 is an apocalyptic number.

13322010816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13322010816 is an abundant number, since it is smaller than the sum of its proper divisors (27903611584).

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

13322010816 is a wasteful number, since it uses less digits than its factorization.

13322010816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405803 (or 405787 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 13322010816 in words is "thirteen billion, three hundred twenty-two million, ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 32832 405763 811526 1217289 1623052 2434578 3246104 3651867 4869156 6492208 7303734 7709497 9738312 10955601 12984416 14607468 15418994 19476624 21911202 23128491 25968832 29214936 30837988 38953248 43822404 46256982 58429872 61675976 69385473 77906496 87644808 92513964 116859744 123351952 138770946 175289616 185027928 208156419 233719488 246703904 277541892 350579232 370055856 416312838 493407808 555083784 701158464 740111712 832625676 1110167568 1480223424 1665251352 2220335136 3330502704 4440670272 6661005408 13322010816