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679054459872 = 25322331719659
BaseRepresentation
bin10011110000110101100…
…11001100001111100000
32101220202110202201021110
421320122303030033200
542111200420203442
61235541525423320
7100026413446605
oct11703263141740
92356673681243
10679054459872
11241a925a3358
12ab731b6ab40
134c05ac12509
1424c1b60a6ac
15129e531669c
hex9e1accc3e0

679054459872 has 48 divisors (see below), whose sum is σ = 1790511367680. Its totient is φ = 225336450432.

The previous prime is 679054459871. The next prime is 679054459901. The reversal of 679054459872 is 278954450976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6790544598722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679054459871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15838422 + ... + 15881237.

It is an arithmetic number, because the mean of its divisors is an integer number (37302320160).

Almost surely, 2679054459872 is an apocalyptic number.

It is an amenable number.

679054459872 is an abundant number, since it is smaller than the sum of its proper divisors (1111456907808).

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

679054459872 is a wasteful number, since it uses less digits than its factorization.

679054459872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31719895 (or 31719887 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 66.

The spelling of 679054459872 in words is "six hundred seventy-nine billion, fifty-four million, four hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2676 3568 5352 7136 10704 21408 31719659 63439318 95158977 126878636 190317954 253757272 380635908 507514544 761271816 1015029088 1522543632 3045087264 7073483957 14146967914 21220451871 28293935828 42440903742 56587871656 84881807484 113175743312 169763614968 226351486624 339527229936 679054459872