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57393235064 = 23115986312809
BaseRepresentation
bin110101011100111001…
…110100010001111000
312111010211111102111202
4311130321310101320
51420020132010224
642211024113332
74101154306634
oct653471642170
9174124442452
1057393235064
1122381a91a80
12b158a65848
135548689029
142ac65addc4
15175d987eae
hexd5ce74478

57393235064 has 64 divisors (see below), whose sum is σ = 119532672000. Its totient is φ = 25613950720.

The previous prime is 57393235063. The next prime is 57393235079. The reversal of 57393235064 is 46053239375.

It is a happy number.

It is a super-2 number, since 2×573932350642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57393235061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4474292 + ... + 4487100.

It is an arithmetic number, because the mean of its divisors is an integer number (1867698000).

Almost surely, 257393235064 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 57393235064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59766336000).

57393235064 is an abundant number, since it is smaller than the sum of its proper divisors (62139436936).

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

57393235064 is a wasteful number, since it uses less digits than its factorization.

57393235064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13748 (or 13744 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 47.

The spelling of 57393235064 in words is "fifty-seven billion, three hundred ninety-three million, two hundred thirty-five thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 863 1298 1726 2596 3452 5192 6904 9493 12809 18986 25618 37972 50917 51236 75944 101834 102472 140899 203668 281798 407336 560087 563596 755731 1120174 1127192 1511462 2240348 3022924 4480696 6045848 8313041 11054167 16626082 22108334 33252164 44216668 66504328 88433336 121595837 243191674 486383348 652195853 972766696 1304391706 2608783412 5217566824 7174154383 14348308766 28696617532 57393235064