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13900410624 = 28361296713
BaseRepresentation
bin11001111001000011…
…10110111100000000
31022212202002000122010
430330201312330000
5211432001114444
610215154012520
71001315353332
oct147441667400
938782060563
1013900410624
115993468271
12283b277140
131406ab0259
1495c191452
155655102b9
hex33c876f00

13900410624 has 72 divisors (see below), whose sum is σ = 37601971792. Its totient is φ = 4557496320.

The previous prime is 13900410613. The next prime is 13900410637. The reversal of 13900410624 is 42601400931.

It is a junction number, because it is equal to n+sod(n) for n = 13900410591 and 13900410600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101509 + ... + 195204.

Almost surely, 213900410624 is an apocalyptic number.

It is an amenable number.

13900410624 is an abundant number, since it is smaller than the sum of its proper divisors (23701561168).

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

13900410624 is an equidigital number, since it uses as much as digits as its factorization.

13900410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296793 (or 296779 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 13900410624 in words is "thirteen billion, nine hundred million, four hundred ten thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1464 1952 2928 3904 5856 7808 11712 15616 23424 46848 296713 593426 890139 1186852 1780278 2373704 3560556 4747408 7121112 9494816 14242224 18099493 18989632 28484448 36198986 37979264 54298479 56968896 72397972 75958528 108596958 113937792 144795944 217193916 227875584 289591888 434387832 579183776 868775664 1158367552 1737551328 2316735104 3475102656 4633470208 6950205312 13900410624