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13431674568 = 23313172987323
BaseRepresentation
bin11001000001001011…
…10001011011001000
31021200002001202122110
430200211301123020
5210002002041233
610100451222320
7653564231034
oct144045613310
937602052573
1013431674568
1157729149a4
12272a2a79a0
131360953540
14915c171c4
155392c0663
hex3209716c8

13431674568 has 128 divisors (see below), whose sum is σ = 39610166400. Its totient is φ = 3755544576.

The previous prime is 13431674567. The next prime is 13431674609. The reversal of 13431674568 is 86547613431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13431674561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110155 + ... + 197477.

It is an arithmetic number, because the mean of its divisors is an integer number (309454425).

Almost surely, 213431674568 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 13431674568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19805083200).

13431674568 is an abundant number, since it is smaller than the sum of its proper divisors (26178491832).

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

13431674568 is a wasteful number, since it uses less digits than its factorization.

13431674568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87391 (or 87387 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 13431674568 in words is "thirteen billion, four hundred thirty-one million, six hundred seventy-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 29 34 39 51 52 58 68 78 87 102 104 116 136 156 174 204 221 232 312 348 377 408 442 493 663 696 754 884 986 1131 1326 1479 1508 1768 1972 2262 2652 2958 3016 3944 4524 5304 5916 6409 9048 11832 12818 19227 25636 38454 51272 76908 87323 153816 174646 261969 349292 523938 698584 1047876 1135199 1484491 2095752 2270398 2532367 2968982 3405597 4453473 4540796 5064734 5937964 6811194 7597101 8906946 9081592 10129468 11875928 13622388 15194202 17813892 19298383 20258936 27244776 30388404 32920771 35627784 38596766 43050239 57895149 60776808 65841542 77193532 86100478 98762313 115790298 129150717 131683084 154387064 172200956 197524626 231580596 258301434 263366168 344401912 395049252 463161192 516602868 559653107 790098504 1033205736 1119306214 1678959321 2238612428 3357918642 4477224856 6715837284 13431674568