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57797681823 = 327343272
BaseRepresentation
bin110101110101000000…
…101010001010011111
312112012000112110011100
4311311000222022133
51421332201304243
642315112524143
74114165122000
oct656500521237
9175160473140
1057797681823
112256a3148a2
12b2503b0653
1355b13c663b
142b241b11a7
1517842290d3
hexd7502a29f

57797681823 has 36 divisors (see below), whose sum is σ = 97381736400. Its totient is φ = 33019613928.

The previous prime is 57797681813. The next prime is 57797681827. The reversal of 57797681823 is 32818679775.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

57797681823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57797681823 - 28 = 57797681567 is a prime.

It is a super-2 number, since 2×577976818232 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57797681827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13355286 + ... + 13359612.

Almost surely, 257797681823 is an apocalyptic number.

57797681823 is a deficient number, since it is larger than the sum of its proper divisors (39584054577).

57797681823 is an frugal number, since it uses more digits than its factorization.

57797681823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8681 (or 4337 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

Multiplying 57797681823 by its sum of digits (63), we get a square (3641253954849 = 19082072).

57797681823 divided by its sum of digits (63) gives a square (917423521 = 302892).

The spelling of 57797681823 in words is "fifty-seven billion, seven hundred ninety-seven million, six hundred eighty-one thousand, eight hundred twenty-three".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 3087 4327 12981 30289 38943 90867 212023 272601 636069 1484161 1908207 4452483 13357449 18722929 56168787 131060503 168506361 393181509 917423521 1179544527 2752270563 6421964647 8256811689 19265893941 57797681823