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57368416720 = 2452689266681
BaseRepresentation
bin110101011011011011…
…001001000111010000
312111002002210112010211
4311123123021013100
51414442303313340
642204340133504
74100433332146
oct653333110720
9174062715124
1057368416720
1122369a8064a
12b150697294
1355434a9714
142ac318d596
15175b6d45ea
hexd5b6c91d0

57368416720 has 40 divisors (see below), whose sum is σ = 133431671880. Its totient is φ = 22938746880.

The previous prime is 57368416709. The next prime is 57368416813. The reversal of 57368416720 is 2761486375.

57368416720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 598683024 + 56769733696 = 24468^2 + 238264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×573684167202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81780 + ... + 348460.

It is an arithmetic number, because the mean of its divisors is an integer number (3335791797).

Almost surely, 257368416720 is an apocalyptic number.

It is an amenable number.

57368416720 is an abundant number, since it is smaller than the sum of its proper divisors (76063255160).

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

57368416720 is a wasteful number, since it uses less digits than its factorization.

57368416720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269383 (or 269377 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 57368416720 in words is "fifty-seven billion, three hundred sixty-eight million, four hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2689 5378 10756 13445 21512 26890 43024 53780 107560 215120 266681 533362 1066724 1333405 2133448 2666810 4266896 5333620 10667240 21334480 717105209 1434210418 2868420836 3585526045 5736841672 7171052090 11473683344 14342104180 28684208360 57368416720