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13939445520 = 24345721113307
BaseRepresentation
bin11001111101101101…
…10000111100010000
31022222110112012110000
430332312300330100
5212021444224040
610223110410000
71002301221600
oct147666607420
938873465400
1013939445520
115a034a9810
122850360900
131411bc9720
14963432c00
15568b71130
hex33edb0f10

13939445520 has 1200 divisors, whose sum is σ = 66379376448. Its totient is φ = 2664990720.

The previous prime is 13939445519. The next prime is 13939445539. The reversal of 13939445520 is 2554493931.

13939445520 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 94 + 4 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45405207 + ... + 45405513.

Almost surely, 213939445520 is an apocalyptic number.

13939445520 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 13939445520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33189688224).

13939445520 is an abundant number, since it is smaller than the sum of its proper divisors (52439930928).

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

13939445520 is a wasteful number, since it uses less digits than its factorization.

13939445520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 13939445520 in words is "thirteen billion, nine hundred thirty-nine million, four hundred forty-five thousand, five hundred twenty".