Search a number
-
+
57398350032 = 2433132866551
BaseRepresentation
bin110101011101001101…
…010101000011010000
312111011012010021221000
4311131031111003100
51420022434200112
642211325502000
74101245632242
oct653515250320
9174135107830
1057398350032
1122384965a21
12b15a711900
13554975a23a
142ac7142092
15175e1487dc
hexd5d3550d0

57398350032 has 40 divisors (see below), whose sum is σ = 164754524480. Its totient is φ = 19132783200.

The previous prime is 57398350019. The next prime is 57398350039. The reversal of 57398350032 is 23005389375.

57398350032 is a `hidden beast` number, since 5 + 7 + 39 + 83 + 500 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57398350032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57398350039) 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, 66432844 + ... + 66433707.

It is an arithmetic number, because the mean of its divisors is an integer number (4118863112).

Almost surely, 257398350032 is an apocalyptic number.

It is an amenable number.

57398350032 is an abundant number, since it is smaller than the sum of its proper divisors (107356174448).

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

57398350032 is a wasteful number, since it uses less digits than its factorization.

57398350032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132866568 (or 132866556 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 57398350032 in words is "fifty-seven billion, three hundred ninety-eight million, three hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 132866551 265733102 398599653 531466204 797199306 1062932408 1195798959 1594398612 2125864816 2391597918 3188797224 3587396877 4783195836 6377594448 7174793754 9566391672 14349587508 19132783344 28699175016 57398350032