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22079398072384 = 26472124972
BaseRepresentation
bin1010000010100110000101…
…01011011101000001000000
32220011202210012210100011101
411001103002223131001000
510343222101401304014
6114543045131224144
74436120032013362
oct501230253350100
986152705710141
1022079398072384
11704290266a864
1225871758a8054
13c4210305ab13
1456491195ad32
15284508583474
hex1414c2add040

22079398072384 has 63 divisors (see below), whose sum is σ = 44769430818973. Its totient is φ = 10803947230208.

The previous prime is 22079398072379. The next prime is 22079398072423. The reversal of 22079398072384 is 48327089397022.

The square root of 22079398072384 is 4698872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11797576257600 + 10281821814784 = 3434760^2 + 3206528^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1766769624 + ... + 1766782120.

Almost surely, 222079398072384 is an apocalyptic number.

22079398072384 is the 4698872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22079398072384

22079398072384 is an abundant number, since it is smaller than the sum of its proper divisors (22690032746589).

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

22079398072384 is an frugal number, since it uses more digits than its factorization.

22079398072384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25100 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

22079398072384 divided by its sum of digits (64) gives a square (344990594881 = 5873592).

The spelling of 22079398072384 in words is "twenty-two trillion, seventy-nine billion, three hundred ninety-eight million, seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 2209 3008 4418 8836 12497 17672 24994 35344 49988 70688 99976 141376 199952 399904 587359 799808 1174718 2349436 4698872 9397744 18795488 27605873 37590976 55211746 110423492 156175009 220846984 312350018 441693968 624700036 883387936 1249400072 1766775872 2498800144 4997600288 7340225423 9995200576 14680450846 29360901692 58721803384 117443606768 234887213536 344990594881 469774427072 689981189762 1379962379524 2759924759048 5519849518096 11039699036192 22079398072384