Search a number
-
+
57313210760 = 23513110217713
BaseRepresentation
bin110101011000001000…
…100011000110001000
312110221020220202210122
4311120020203012020
51414334140221020
642155045002412
74066163152631
oct653010430610
9173836822718
1057313210760
11223408a4593
12b1360b3408
135534c1a880
142ab9adc888
15175692c125
hexd58223188

57313210760 has 32 divisors (see below), whose sum is σ = 138874319640. Its totient is φ = 21161800704.

The previous prime is 57313210753. The next prime is 57313210769. The reversal of 57313210760 is 6701231375.

It can be written as a sum of positive squares in 4 ways, for example, as 21411298276 + 35901912484 = 146326^2 + 189478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57313210760.

It is not an unprimeable number, because it can be changed into a prime (57313210769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55108337 + ... + 55109376.

Almost surely, 257313210760 is an apocalyptic number.

It is an amenable number.

57313210760 is an abundant number, since it is smaller than the sum of its proper divisors (81561108880).

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

57313210760 is a wasteful number, since it uses less digits than its factorization.

57313210760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110217737 (or 110217733 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The spelling of 57313210760 in words is "fifty-seven billion, three hundred thirteen million, two hundred ten thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 110217713 220435426 440870852 551088565 881741704 1102177130 1432830269 2204354260 2865660538 4408708520 5731321076 7164151345 11462642152 14328302690 28656605380 57313210760