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13051643652 = 2232419419397
BaseRepresentation
bin11000010011111000…
…00100011100000100
31020200120222012020100
430021330010130010
5203212210044102
65555034004100
7641301066135
oct141174043404
936616865210
1013051643652
115598349063
122642b76630
1312cccb4288
148bb56dc8c
15515c53a1c
hex309f04704

13051643652 has 72 divisors (see below), whose sum is σ = 33835844952. Its totient is φ = 4239475200.

The previous prime is 13051643639. The next prime is 13051643701. The reversal of 13051643652 is 25634615031.

13051643652 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 1 + 643 + 6 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 441252036 + 12610391616 = 21006^2 + 112296^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1384218 + ... + 1393614.

It is an arithmetic number, because the mean of its divisors is an integer number (469942291).

Almost surely, 213051643652 is an apocalyptic number.

13051643652 is a gapful number since it is divisible by the number (12) 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 13051643652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917922476).

13051643652 is an abundant number, since it is smaller than the sum of its proper divisors (20784201300).

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

13051643652 is a wasteful number, since it uses less digits than its factorization.

13051643652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389 (or 10384 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13051643652 in words is "thirteen billion, fifty-one million, six hundred forty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 941 1476 1882 2823 3764 5646 8469 9397 11292 16938 18794 28191 33876 37588 38581 56382 77162 84573 112764 115743 154324 169146 231486 338292 347229 385277 462972 694458 770554 1155831 1388916 1541108 2311662 3467493 4623324 6934986 8842577 13869972 17685154 26527731 35370308 53055462 79583193 106110924 159166386 318332772 362545657 725091314 1087636971 1450182628 2175273942 3262910913 4350547884 6525821826 13051643652