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679490094976 = 27711431603297
BaseRepresentation
bin10011110001101001100…
…01000000011110000000
32101221212211111021021221
421320310301000132000
542113043431014401
61240053050524424
7100043253340030
oct11706461003600
92357784437257
10679490094976
11242196498470
12ab833a36714
134c0ca24c974
1424c5d4098c0
1512a1d6b87a1
hex9e34c40780

679490094976 has 128 divisors (see below), whose sum is σ = 1726944341760. Its totient is φ = 258579578880.

The previous prime is 679490094973. The next prime is 679490095061.

679490094976 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679490094973) 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, 377841 + ... + 1225456.

It is an arithmetic number, because the mean of its divisors is an integer number (13491752670).

Almost surely, 2679490094976 is an apocalyptic number.

It is an amenable number.

679490094976 is an abundant number, since it is smaller than the sum of its proper divisors (1047454246784).

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

679490094976 is a wasteful number, since it uses less digits than its factorization.

679490094976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603372 (or 1603360 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 70.

The spelling of 679490094976 in words is "six hundred seventy-nine billion, four hundred ninety million, ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 64 77 86 88 112 128 154 172 176 224 301 308 344 352 448 473 602 616 688 704 896 946 1204 1232 1376 1408 1892 2408 2464 2752 3311 3784 4816 4928 5504 6622 7568 9632 9856 13244 15136 19264 26488 30272 38528 52976 60544 105952 211904 423808 1603297 3206594 6413188 11223079 12826376 17636267 22446158 25652752 35272534 44892316 51305504 68941771 70545068 89784632 102611008 123453869 137883542 141090136 179569264 205222016 246907738 275767084 282180272 359138528 482592397 493815476 551534168 564360544 718277056 758359481 965184794 987630952 1103068336 1128721088 1436554112 1516718962 1930369588 1975261904 2206136672 2257442176 3033437924 3860739176 3950523808 4412273344 5308516367 6066875848 7721478352 7901047616 8824546688 10617032734 12133751696 15442956704 15802095232 21234065468 24267503392 30885913408 42468130936 48535006784 61771826816 84936261872 97070013568 169872523744 339745047488 679490094976