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13531906968 = 2333121298543
BaseRepresentation
bin11001001101001000…
…01000001110011000
31021221001200002122120
430212210020032120
5210203132010333
610114431421240
7656222211546
oct144644101630
937831602576
1013531906968
115814454a98
122757984820
131378648a58
14925268d96
15542ebddb3
hex326908398

13531906968 has 64 divisors (see below), whose sum is σ = 34941542400. Its totient is φ = 4362570240.

The previous prime is 13531906967. The next prime is 13531907021. The reversal of 13531906968 is 86960913531.

It is a super-2 number, since 2×135319069682 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13531906968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531906967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1579705 + ... + 1588247.

It is an arithmetic number, because the mean of its divisors is an integer number (545961600).

Almost surely, 213531906968 is an apocalyptic number.

It is an amenable number.

13531906968 is an abundant number, since it is smaller than the sum of its proper divisors (21409635432).

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

13531906968 is a wasteful number, since it uses less digits than its factorization.

13531906968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 13531906968 in words is "thirteen billion, five hundred thirty-one million, nine hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 2129 4258 6387 8516 8543 12774 17032 17086 25548 25629 34172 51096 51258 65999 68344 102516 131998 197997 205032 263996 264833 395994 527992 529666 791988 794499 1059332 1583976 1588998 2118664 3177996 6355992 18188047 36376094 54564141 72752188 109128282 145504376 218256564 436513128 563829457 1127658914 1691488371 2255317828 3382976742 4510635656 6765953484 13531906968