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679683386976 = 25311770383557
BaseRepresentation
bin10011110010000000100…
…10010110111001100000
32101222101022012112001220
421321000102112321200
542113442421340401
61240124153455040
7100051121315406
oct11710022267140
92358338175056
10679683386976
11242285609620
12ab888711480
134c12b2c8929
1424c7ad63476
1512a3064a336
hex9e40496e60

679683386976 has 96 divisors (see below), whose sum is σ = 1946642035968. Its totient is φ = 205935459840.

The previous prime is 679683386971. The next prime is 679683386981.

679683386976 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (679683386971) and next prime (679683386981).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679683386971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8092590 + ... + 8176146.

It is an arithmetic number, because the mean of its divisors is an integer number (20277521208).

Almost surely, 2679683386976 is an apocalyptic number.

679683386976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

679683386976 is an abundant number, since it is smaller than the sum of its proper divisors (1266958648992).

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

679683386976 is a wasteful number, since it uses less digits than its factorization.

679683386976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91284 (or 91276 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 78.

The spelling of 679683386976 in words is "six hundred seventy-nine billion, six hundred eighty-three million, three hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 7703 15406 23109 30812 46218 61624 83557 84733 92436 123248 167114 169466 184872 246496 250671 254199 334228 338932 369744 501342 508398 668456 677864 739488 919127 1002684 1016796 1336912 1355728 1838254 2005368 2033592 2673824 2711456 2757381 3676508 4010736 4067184 5514762 7353016 8021472 8134368 11029524 14706032 22059048 29412064 44118096 88236192 643639571 1287279142 1930918713 2574558284 3861837426 5149116568 7080035281 7723674852 10298233136 14160070562 15447349704 20596466272 21240105843 28320141124 30894699408 42480211686 56640282248 61789398816 84960423372 113280564496 169920846744 226561128992 339841693488 679683386976