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14979423872 = 27722579293
BaseRepresentation
bin11011111001101011…
…11101111010000000
31102122221102120112202
431330311331322000
5221134213030442
610514221012332
71040130000500
oct157465757200
942587376482
1014979423872
116397548956
122aa06b40a8
1315494c362a
14a215c9a00
155ca0ecc32
hex37cd7de80

14979423872 has 96 divisors (see below), whose sum is σ = 34852778820. Its totient is φ = 6394085376.

The previous prime is 14979423839. The next prime is 14979423881. The reversal of 14979423872 is 27832497941.

It can be written as a sum of positive squares in 2 ways, for example, as 14889856576 + 89567296 = 122024^2 + 9464^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1607258 + ... + 1616550.

Almost surely, 214979423872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14979423872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426389410).

14979423872 is an abundant number, since it is smaller than the sum of its proper divisors (19873354948).

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

14979423872 is an equidigital number, since it uses as much as digits as its factorization.

14979423872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9578 (or 9559 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 56.

The spelling of 14979423872 in words is "fourteen billion, nine hundred seventy-nine million, four hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 257 392 448 514 784 896 1028 1568 1799 2056 3136 3598 4112 6272 7196 8224 9293 12593 14392 16448 18586 25186 28784 32896 37172 50372 57568 65051 74344 100744 115136 130102 148688 201488 230272 260204 297376 402976 455357 520408 594752 805952 910714 1040816 1189504 1611904 1821428 2081632 2388301 3642856 4163264 4776602 7285712 8326528 9553204 14571424 16718107 19106408 29142848 33436214 38212816 58285696 66872428 76425632 117026749 133744856 152851264 234053498 267489712 305702528 468106996 534979424 936213992 1069958848 1872427984 2139917696 3744855968 7489711936 14979423872