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13040313696 = 253270963863
BaseRepresentation
bin11000010010100001…
…10110010101100000
31020122210122120110100
430021100312111200
5203201310014241
65553551102400
7641102560164
oct141120662540
936583576410
1013040313696
115591a0a763
12263b211a00
1312ca848267
148b9c60ca4
15514c669b6
hex309436560

13040313696 has 72 divisors (see below), whose sum is σ = 37136277360. Its totient is φ = 4340572416.

The previous prime is 13040313653. The next prime is 13040313697. The reversal of 13040313696 is 69631304031.

13040313696 is a `hidden beast` number, since 1 + 30 + 403 + 136 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13040313696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040313697) 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 11 ways as a sum of consecutive naturals, for example, 172261 + ... + 236123.

It is an arithmetic number, because the mean of its divisors is an integer number (515781630).

Almost surely, 213040313696 is an apocalyptic number.

13040313696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13040313696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18568138680).

13040313696 is an abundant number, since it is smaller than the sum of its proper divisors (24095963664).

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

13040313696 is a wasteful number, since it uses less digits than its factorization.

13040313696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64588 (or 64577 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 13040313696 in words is "thirteen billion, forty million, three hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 709 1418 2127 2836 4254 5672 6381 8508 11344 12762 17016 22688 25524 34032 51048 63863 68064 102096 127726 191589 204192 255452 383178 510904 574767 766356 1021808 1149534 1532712 2043616 2299068 3065424 4598136 6130848 9196272 18392544 45278867 90557734 135836601 181115468 271673202 362230936 407509803 543346404 724461872 815019606 1086692808 1448923744 1630039212 2173385616 3260078424 4346771232 6520156848 13040313696