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57461388714 = 2337135342457
BaseRepresentation
bin110101100000111101…
…110011010110101010
312111022120201222202000
4311200331303112222
51420140103414324
642221500551430
74102642513422
oct654075632652
9174276658660
1057461388714
1122407501904
12b177852576
13555982c332
142ad1671482
15176494b9c9
hexd60f735aa

57461388714 has 64 divisors (see below), whose sum is σ = 129860340480. Its totient is φ = 18830085120.

The previous prime is 57461388671. The next prime is 57461388731. The reversal of 57461388714 is 41788316475.

57461388714 is a `hidden beast` number, since 5 + 7 + 4 + 613 + 8 + 8 + 7 + 14 = 666.

It is a super-2 number, since 2×574613887142 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332174 + ... + 1374630.

It is an arithmetic number, because the mean of its divisors is an integer number (2029067820).

Almost surely, 257461388714 is an apocalyptic number.

57461388714 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57461388714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64930170240).

57461388714 is an abundant number, since it is smaller than the sum of its proper divisors (72398951766).

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

57461388714 is a wasteful number, since it uses less digits than its factorization.

57461388714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42892 (or 42886 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 57461388714 in words is "fifty-seven billion, four hundred sixty-one million, three hundred eighty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 353 426 639 706 1059 1278 1917 2118 3177 3834 6354 9531 19062 25063 42457 50126 75189 84914 127371 150378 225567 254742 382113 451134 676701 764226 1146339 1353402 2292678 3014447 6028894 9043341 14987321 18086682 27130023 29974642 44961963 54260046 81390069 89923926 134885889 162780138 269771778 404657667 809315334 1064099791 2128199582 3192299373 6384598746 9576898119 19153796238 28730694357 57461388714