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57738853655320 = 235711193153111131
BaseRepresentation
bin11010010000011010111111…
…10111001010001100011000
321120102210001222121211111011
431020031133313022030120
530031443133013432240
6322444510240543304
715106331422221025
oct1510153767121430
9246383058554434
1057738853655320
1117440a01704372
126586215321b34
13262a99ac11716
14103880ad8c54c
156a1dc04606ea
hex34835fdca318

57738853655320 has 128 divisors (see below), whose sum is σ = 131950577594880. Its totient is φ = 22734262656000.

The previous prime is 57738853655309. The next prime is 57738853655387. The reversal of 57738853655320 is 2355635883775.

57738853655320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5187206155 + ... + 5187217285.

It is an arithmetic number, because the mean of its divisors is an integer number (1030863887460).

Almost surely, 257738853655320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57738853655320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65975288797440).

57738853655320 is an abundant number, since it is smaller than the sum of its proper divisors (74211723939560).

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

57738853655320 is a wasteful number, since it uses less digits than its factorization.

57738853655320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13937 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 635040000, while the sum is 67.

The spelling of 57738853655320 in words is "fifty-seven trillion, seven hundred thirty-eight billion, eight hundred fifty-three million, six hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1193 1420 1531 2386 2840 3062 4772 5965 6124 7655 9544 11131 11930 12248 15310 22262 23860 30620 44524 47720 55655 61240 84703 89048 108701 111310 169406 217402 222620 338812 423515 434804 445240 543505 677624 790301 847030 869608 1087010 1580602 1694060 1826483 2174020 3161204 3388120 3652966 3951505 4348040 6322408 7305932 7903010 9132415 13279283 14611864 15806020 17041561 18264830 26558566 31612040 34083122 36529660 53117132 66396415 68166244 73059320 85207805 106234264 129680293 132792830 136332488 170415610 259360586 265585660 340831220 518721172 531171320 648401465 681662440 942829093 1037442344 1209950831 1296802930 1885658186 2419901662 2593605860 3771316372 4714145465 4839803324 5187211720 6049754155 7542632744 9428290930 9679606648 12099508310 18856581860 20330582273 24199016620 37713163720 40661164546 48398033240 81322329092 101652911365 162644658184 203305822730 406611645460 813223290920 1443471341383 2886942682766 5773885365532 7217356706915 11547770731064 14434713413830 28869426827660 57738853655320