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13055005260 = 2232511193783113
BaseRepresentation
bin11000010100010001…
…11001001001001100
31020200211021222111100
430022020321021030
5203214040132020
65555234023100
7641341466553
oct141210711114
936624258440
1013055005260
11559a234750
122644117a90
1313008c03ab
148bbba6d9a
155161b9a90
hex30a23924c

13055005260 has 576 divisors, whose sum is σ = 47683883520. Its totient is φ = 2856591360.

The previous prime is 13055005237. The next prime is 13055005261. The reversal of 13055005260 is 6250055031.

13055005260 is a `hidden beast` number, since 1 + 3 + 0 + 550 + 0 + 52 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (13055005261) 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 191 ways as a sum of consecutive naturals, for example, 115530964 + ... + 115531076.

It is an arithmetic number, because the mean of its divisors is an integer number (82784520).

Almost surely, 213055005260 is an apocalyptic number.

13055005260 is a gapful number since it is divisible by the number (10) 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 13055005260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23841941760).

13055005260 is an abundant number, since it is smaller than the sum of its proper divisors (34628878260).

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

13055005260 is a wasteful number, since it uses less digits than its factorization.

13055005260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 13055005260 in words is "thirteen billion, fifty-five million, five thousand, two hundred sixty".