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38520322849920 = 273531337640223
BaseRepresentation
bin10001100001000101101100…
…01010001111110010000000
312001101111200112022121200010
420300202312022033302000
520022104110122144140
6213531554135424520
711054000336560332
oct1060426612176200
9161344615277603
1038520322849920
111130141703171a
1243a15b6225140
1318655b26c7252
14972571d75452
1546c006b12880
hex2308b628fc80

38520322849920 has 128 divisors (see below), whose sum is σ = 122787639037440. Its totient is φ = 10271742255104.

The previous prime is 38520322849919. The next prime is 38520322849949. The reversal of 38520322849920 is 2994822302583.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59846929 + ... + 60487151.

It is an arithmetic number, because the mean of its divisors is an integer number (959278429980).

Almost surely, 238520322849920 is an apocalyptic number.

38520322849920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38520322849920 is an abundant number, since it is smaller than the sum of its proper divisors (84267316187520).

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

38520322849920 is a wasteful number, since it uses less digits than its factorization.

38520322849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671582 (or 671570 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 38520322849920 in words is "thirty-eight trillion, five hundred twenty billion, three hundred twenty-two million, eight hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 31337 62674 94011 125348 156685 188022 250696 313370 376044 470055 501392 626740 640223 752088 940110 1002784 1253480 1280446 1504176 1880220 1920669 2005568 2506960 2560892 3008352 3201115 3760440 3841338 4011136 5013920 5121784 6016704 6402230 7520880 7682676 9603345 10027840 10243568 12033408 12804460 15041760 15365352 19206690 20055680 20487136 25608920 30083520 30730704 38413380 40974272 51217840 60167040 61461408 76826760 81948544 102435680 122922816 153653520 204871360 245845632 307307040 409742720 614614080 1229228160 20062668151 40125336302 60188004453 80250672604 100313340755 120376008906 160501345208 200626681510 240752017812 300940022265 321002690416 401253363020 481504035624 601880044530 642005380832 802506726040 963008071248 1203760089060 1284010761664 1605013452080 1926016142496 2407520178120 2568021523328 3210026904160 3852032284992 4815040356240 6420053808320 7704064569984 9630080712480 12840107616640 19260161424960 38520322849920