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5747968512 = 293211213261
BaseRepresentation
bin1010101101001101…
…10000101000000000
3112211120211001110200
411112212300220000
543232434443022
62350210525200
7262303632456
oct52646605000
915746731420
105747968512
11248a63a900
121144b96800
13707ac4800
143c75649d6
15239951bac
hex1569b0a00

5747968512 has 540 divisors, whose sum is σ = 20068430382. Its totient is φ = 1581465600.

The previous prime is 5747968511. The next prime is 5747968529. The reversal of 5747968512 is 2158697475.

5747968512 is a `hidden beast` number, since 57 + 4 + 79 + 6 + 8 + 512 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1251461376 + 4496507136 = 35376^2 + 67056^2 .

Its product of digits (4233600) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (5747968511) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 94228962 + ... + 94229022.

Almost surely, 25747968512 is an apocalyptic number.

5747968512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5747968512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10034215191).

5747968512 is an abundant number, since it is smaller than the sum of its proper divisors (14320461870).

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

5747968512 is a wasteful number, since it uses less digits than its factorization.

5747968512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 5747968512 is about 75815.3580219734. The cubic root of 5747968512 is about 1791.3129275039.

The spelling of 5747968512 in words is "five billion, seven hundred forty-seven million, nine hundred sixty-eight thousand, five hundred twelve".