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1328208743904 = 253721716609253
BaseRepresentation
bin10011010100111111011…
…010010000110111100000
311200222100011002010011220
4103110333122100313200
5133230132414301104
62454100510535040
7164650152021300
oct23247732206740
94628304063156
101328208743904
11472321233a89
121954ba507480
1398332341393
14483ddb55600
152483a6717d9
hex1353f690de0

1328208743904 has 144 divisors (see below), whose sum is σ = 4294355840208. Its totient is φ = 357165355008.

The previous prime is 1328208743893. The next prime is 1328208743941. The reversal of 1328208743904 is 4093478028231.

It is a super-2 number, since 2×13282087439042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8224659 + ... + 8384594.

It is an arithmetic number, because the mean of its divisors is an integer number (29821915557).

Almost surely, 21328208743904 is an apocalyptic number.

1328208743904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1328208743904 is an abundant number, since it is smaller than the sum of its proper divisors (2966147096304).

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

1328208743904 is a wasteful number, since it uses less digits than its factorization.

1328208743904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16609297 (or 16609282 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 1328208743904 in words is "one trillion, three hundred twenty-eight billion, two hundred eight million, seven hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1904 2352 2499 2856 3332 3808 4704 4998 5712 6664 9996 11424 13328 19992 26656 39984 79968 16609253 33218506 49827759 66437012 99655518 116264771 132874024 199311036 232529542 265748048 282357301 348794313 398622072 465059084 531496096 564714602 697588626 797244144 813853397 847071903 930118168 1129429204 1395177252 1594488288 1627706794 1694143806 1860236336 1976501107 2258858408 2441560191 2790354504 3255413588 3388287612 3720472672 3953002214 4517716816 4883120382 5580709008 5929503321 6510827176 6776575224 7906004428 9035433632 9766240764 11161418016 11859006642 13021654352 13553150448 13835507749 15812008856 19532481528 23718013284 26043308704 27106300896 27671015498 31624017712 39064963056 41506523247 47436026568 55342030996 63248035424 78129926112 83013046494 94872053136 110684061992 166026092988 189744106272 221368123984 332052185976 442736247968 664104371952 1328208743904