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13739445720 = 233357111371179
BaseRepresentation
bin11001100101110111…
…10100110111011000
31022110112012011022000
430302323310313120
5211114244230340
610151204001000
7664322235030
oct146273646730
938415164260
1013739445720
115910616a20
1227b5390160
1313ac642550
14944a508c0
15556316d30
hex332ef4dd8

13739445720 has 1024 divisors, whose sum is σ = 62705664000. Its totient is φ = 2583705600.

The previous prime is 13739445719. The next prime is 13739445721. The reversal of 13739445720 is 2754493731.

13739445720 is a `hidden beast` number, since 1 + 3 + 7 + 39 + 44 + 572 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13739445719) and next prime (13739445721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13739445721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76756591 + ... + 76756769.

It is an arithmetic number, because the mean of its divisors is an integer number (61236000).

Almost surely, 213739445720 is an apocalyptic number.

13739445720 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 13739445720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31352832000).

13739445720 is an abundant number, since it is smaller than the sum of its proper divisors (48966218280).

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

13739445720 is a wasteful number, since it uses less digits than its factorization.

13739445720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 13739445720 in words is "thirteen billion, seven hundred thirty-nine million, four hundred forty-five thousand, seven hundred twenty".