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13055824320 = 2635711239739
BaseRepresentation
bin11000010100011000…
…00001000111000000
31020200212211121000220
430022030001013000
5203214242334240
65555303343040
7641351450520
oct141214010700
936625747026
1013055824320
11559a744060
122644451a80
131300b19146
148bbd3b680
155162cc5d0
hex30a3011c0

13055824320 has 448 divisors, whose sum is σ = 51967180800. Its totient is φ = 2697891840.

The previous prime is 13055824253. The next prime is 13055824333. The reversal of 13055824320 is 2342855031.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17666511 + ... + 17667249.

Almost surely, 213055824320 is an apocalyptic number.

13055824320 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 13055824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25983590400).

13055824320 is an abundant number, since it is smaller than the sum of its proper divisors (38911356480).

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

13055824320 is a wasteful number, since it uses less digits than its factorization.

13055824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 13055824320 in words is "thirteen billion, fifty-five million, eight hundred twenty-four thousand, three hundred twenty".