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57246259141 = 375329192381
BaseRepresentation
bin110101010100001001…
…001001011111000101
312110202120221021110001
4311110021021133011
51414220020243031
642144254001301
74064421113461
oct652411113705
9173676837401
1057246259141
1122307025875
12b1177a6231
1355240a8726
142ab0c714a1
151750b04861
hexd542497c5

57246259141 has 8 divisors (see below), whose sum is σ = 59902767864. Its totient is φ = 54648135360.

The previous prime is 57246259129. The next prime is 57246259159. The reversal of 57246259141 is 14195264275.

It can be written as a sum of positive squares in 4 ways, for example, as 27242822916 + 30003436225 = 165054^2 + 173215^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57246259141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57246259091 and 57246259100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57246259121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14594230 + ... + 14598151.

It is an arithmetic number, because the mean of its divisors is an integer number (7487845983).

Almost surely, 257246259141 is an apocalyptic number.

It is an amenable number.

57246259141 is a deficient number, since it is larger than the sum of its proper divisors (2656508723).

57246259141 is a wasteful number, since it uses less digits than its factorization.

57246259141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29192471.

The product of its digits is 604800, while the sum is 46.

The spelling of 57246259141 in words is "fifty-seven billion, two hundred forty-six million, two hundred fifty-nine thousand, one hundred forty-one".

Divisors: 1 37 53 1961 29192381 1080118097 1547196193 57246259141