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13336602048 = 263572113743
BaseRepresentation
bin11000110101110110…
…00110010111000000
31021102110011120200000
430122323012113000
5204303132231143
610043213400000
7651331150500
oct143273062700
937373146600
1013336602048
115724189570
122702499000
131347046803
14907349a00
15530c90bd3
hex31aec65c0

13336602048 has 1008 divisors, whose sum is σ = 52868559744. Its totient is φ = 3292047360.

The previous prime is 13336602031. The next prime is 13336602079. The reversal of 13336602048 is 84020663331.

13336602048 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 6 + 602 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 310153515 + ... + 310153557.

It is an arithmetic number, because the mean of its divisors is an integer number (52448968).

Almost surely, 213336602048 is an apocalyptic number.

13336602048 is a gapful number since it is divisible by the number (18) 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 13336602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26434279872).

13336602048 is an abundant number, since it is smaller than the sum of its proper divisors (39531957696).

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

13336602048 is a wasteful number, since it uses less digits than its factorization.

13336602048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13336602048 in words is "thirteen billion, three hundred thirty-six million, six hundred two thousand, forty-eight".