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57324931400 = 23521171366997
BaseRepresentation
bin110101011000110101…
…010000100101001000
312110222001222020111102
4311120311100211020
51414400140301100
642200144120532
74066364606612
oct653065204510
9173861866442
1057324931400
112234747a470
12b13a006148
135537492669
142abb4addb2
151757994cd5
hexd58d50948

57324931400 has 96 divisors (see below), whose sum is σ = 147445116480. Its totient is φ = 20551776000.

The previous prime is 57324931373. The next prime is 57324931423. The reversal of 57324931400 is 413942375.

It is a super-2 number, since 2×573249314002 (a number of 22 digits) contains 22 as substring.

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, 27299 + ... + 339698.

It is an arithmetic number, because the mean of its divisors is an integer number (1535886630).

Almost surely, 257324931400 is an apocalyptic number.

57324931400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57324931400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73722558240).

57324931400 is an abundant number, since it is smaller than the sum of its proper divisors (90120185080).

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

57324931400 is a wasteful number, since it uses less digits than its factorization.

57324931400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367095 (or 367086 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 57324931400 in words is "fifty-seven billion, three hundred twenty-four million, nine hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 100 110 142 200 220 275 284 355 440 550 568 710 781 1100 1420 1562 1775 2200 2840 3124 3550 3905 6248 7100 7810 14200 15620 19525 31240 39050 78100 156200 366997 733994 1467988 1834985 2935976 3669970 4036967 7339940 8073934 9174925 14679880 16147868 18349850 20184835 26056787 32295736 36699700 40369670 52113574 73399400 80739340 100924175 104227148 130283935 161478680 201848350 208454296 260567870 286624657 403696700 521135740 573249314 651419675 807393400 1042271480 1146498628 1302839350 1433123285 2292997256 2605678700 2866246570 5211357400 5732493140 7165616425 11464986280 14331232850 28662465700 57324931400