Search a number
-
+
57629379713 is a prime number
BaseRepresentation
bin110101101010111110…
…101000110010000001
312111202021211211001212
4311222332220302001
51421011110122323
642250301335505
74110052434203
oct655276506201
9174667754055
1057629379713
1122493311a44
12b203b67595
13558558a0a9
142b09ac0773
151774581b78
hexd6afa8c81

57629379713 has 2 divisors, whose sum is σ = 57629379714. Its totient is φ = 57629379712.

The previous prime is 57629379683. The next prime is 57629379763. The reversal of 57629379713 is 31797392675.

57629379713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56179902529 + 1449477184 = 237023^2 + 38072^2 .

It is a cyclic number.

It is not a de Polignac number, because 57629379713 - 210 = 57629378689 is a prime.

It is a super-2 number, since 2×576293797132 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57629379763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28814689856 + 28814689857.

It is an arithmetic number, because the mean of its divisors is an integer number (28814689857).

Almost surely, 257629379713 is an apocalyptic number.

It is an amenable number.

57629379713 is a deficient number, since it is larger than the sum of its proper divisors (1).

57629379713 is an equidigital number, since it uses as much as digits as its factorization.

57629379713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15002820, while the sum is 59.

The spelling of 57629379713 in words is "fifty-seven billion, six hundred twenty-nine million, three hundred seventy-nine thousand, seven hundred thirteen".