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13788427392 = 27339741131
BaseRepresentation
bin11001101011101101…
…01011010010000000
31022120221100200112000
430311312223102000
5211214314134032
610200113504000
7665455461525
oct146566532200
938527320460
1013788427392
115936231643
122809872000
1313b983229c
1494b36114c
1555a78ee7c
hex335dab480

13788427392 has 128 divisors (see below), whose sum is σ = 41115547200. Its totient is φ = 4548648960.

The previous prime is 13788427351. The next prime is 13788427421. The reversal of 13788427392 is 29372488731.

13788427392 is a `hidden beast` number, since 137 + 88 + 42 + 7 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314667 + ... + 355797.

Almost surely, 213788427392 is an apocalyptic number.

13788427392 is a gapful number since it is divisible by the number (12) 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 13788427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20557773600).

13788427392 is an abundant number, since it is smaller than the sum of its proper divisors (27327119808).

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

13788427392 is an equidigital number, since it uses as much as digits as its factorization.

13788427392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41251 (or 41233 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 13788427392 in words is "thirteen billion, seven hundred eighty-eight million, four hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 128 144 192 194 216 288 291 384 388 432 576 582 776 864 873 1152 1164 1552 1728 1746 2328 2619 3104 3456 3492 4656 5238 6208 6984 9312 10476 12416 13968 18624 20952 27936 37248 41131 41904 55872 82262 83808 111744 123393 164524 167616 246786 329048 335232 370179 493572 658096 740358 987144 1110537 1316192 1480716 1974288 2221074 2632384 2961432 3948576 3989707 4442148 5264768 5922864 7897152 7979414 8884296 11845728 11969121 15794304 15958828 17768592 23691456 23938242 31917656 35537184 35907363 47382912 47876484 63835312 71074368 71814726 95752968 107722089 127670624 142148736 143629452 191505936 215444178 255341248 287258904 383011872 430888356 510682496 574517808 766023744 861776712 1149035616 1532047488 1723553424 2298071232 3447106848 4596142464 6894213696 13788427392