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679241303142976 = 26712771453817127
BaseRepresentation
bin1001101001110001000011000…
…0100101110011001001000000
310022001222211112021202111221201
42122130100300211303021000
51203012142142101033401
610404343051422230544
7263033364460460110
oct23234206045631100
93261884467674851
10679241303142976
11187477689926aa2
1264221622125454
1323201245740442
14bda3651167040
15537d95990cb01
hex269c430973240

679241303142976 has 112 divisors (see below), whose sum is σ = 1542691408018176. Its totient is φ = 290674911504384.

The previous prime is 679241303142953. The next prime is 679241303143021.

It is a happy number.

679241303142976 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×6792413031429764 (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 830846925 + ... + 831664051.

Almost surely, 2679241303142976 is an apocalyptic number.

It is an amenable number.

679241303142976 is an abundant number, since it is smaller than the sum of its proper divisors (863450104875200).

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

679241303142976 is a wasteful number, since it uses less digits than its factorization.

679241303142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819876 (or 819866 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 64.

The spelling of 679241303142976 in words is "six hundred seventy-nine trillion, two hundred forty-one billion, three hundred three million, one hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1277 1453 2554 2906 5108 5812 8939 10171 10216 11624 17878 20342 20432 23248 35756 40684 40864 46496 71512 81368 81728 92992 143024 162736 286048 325472 572096 650944 817127 1634254 1855481 3268508 3710962 5719889 6537016 7421924 11439778 12988367 13074032 14843848 22879556 25976734 26148064 29687696 45759112 51953468 52296128 59375392 91518224 103906936 118750784 183036448 207813872 366072896 415627744 831255488 1043471179 1187285531 2086942358 2374571062 4173884716 4749142124 7304298253 8310998717 8347769432 9498284248 14608596506 16621997434 16695538864 18996568496 29217193012 33243994868 33391077728 37993136992 58434386024 66487989736 66782155456 75986273984 116868772048 132975979472 233737544096 265951958944 467475088192 531903917888 1516163623087 3032327246174 6064654492348 10613145361609 12129308984696 21226290723218 24258617969392 42452581446436 48517235938784 84905162892872 97034471877568 169810325785744 339620651571488 679241303142976