Search a number
-
+
57464562540 = 223571121959513
BaseRepresentation
bin110101100001001001…
…111010001101101100
312111022210201020102010
4311201021322031230
51420141412000130
642222053001220
74103011502520
oct654111721554
9174283636363
1057464562540
112240927a400
12b178923210
13555a3a0b38
142ad1c59d80
151764d770b0
hexd6127a36c

57464562540 has 288 divisors, whose sum is σ = 212764930560. Its totient is φ = 11312040960.

The previous prime is 57464562527. The next prime is 57464562569. The reversal of 57464562540 is 4526546475.

57464562540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57464562540.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 935824 + ... + 995336.

It is an arithmetic number, because the mean of its divisors is an integer number (738767120).

Almost surely, 257464562540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57464562540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106382465280).

57464562540 is an abundant number, since it is smaller than the sum of its proper divisors (155300368020).

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

57464562540 is a wasteful number, since it uses less digits than its factorization.

57464562540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59573 (or 59560 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 57464562540 in words is "fifty-seven billion, four hundred sixty-four million, five hundred sixty-two thousand, five hundred forty".