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13055235104 = 253712019181
BaseRepresentation
bin11000010100010011…
…10001010000100000
31020200211201122210002
430022021301100200
5203214120010404
65555242555132
7641343444632
oct141211612040
936624648702
1013055235104
11559a3813aa
122644208aa8
131300970bb2
148bbc26a52
15516212c1e
hex30a271420

13055235104 has 48 divisors (see below), whose sum is σ = 26422013016. Its totient is φ = 6345216000.

The previous prime is 13055235097. The next prime is 13055235131. The reversal of 13055235104 is 40153255031.

It can be written as a sum of positive squares in 4 ways, for example, as 10448928400 + 2606306704 = 102220^2 + 51052^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1417394 + ... + 1426574.

Almost surely, 213055235104 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 13055235104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13211006508).

13055235104 is an abundant number, since it is smaller than the sum of its proper divisors (13366777912).

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

13055235104 is a wasteful number, since it uses less digits than its factorization.

13055235104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10429 (or 10421 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 13055235104 in words is "thirteen billion, fifty-five million, two hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1201 2402 4804 9181 9608 18362 19216 36724 38432 44437 73448 88874 146896 177748 293792 339697 355496 679394 710992 1358788 1421984 2717576 5435152 10870304 11026381 22052762 44105524 88211048 176422096 352844192 407976097 815952194 1631904388 3263808776 6527617552 13055235104