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5264880768 = 2735724181
BaseRepresentation
bin1001110011100111…
…11011010010000000
3111120220210122200000
410321303323102000
541240302141033
62230232400000
7244316514420
oct47163732200
914526718600
105264880768
112261984934
12102b246000
1365b9b1584
1437d332480
1520c329a13
hex139cfb480

5264880768 has 192 divisors, whose sum is σ = 17956585920. Its totient is φ = 1504189440.

The previous prime is 5264880767. The next prime is 5264880787. The reversal of 5264880768 is 8670884625.

5264880768 is a `hidden beast` number, since 526 + 48 + 8 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (5264880763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205638 + ... + 229818.

It is an arithmetic number, because the mean of its divisors is an integer number (93523885).

Almost surely, 25264880768 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 5264880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8978292960).

5264880768 is an abundant number, since it is smaller than the sum of its proper divisors (12691705152).

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

5264880768 is an equidigital number, since it uses as much as digits as its factorization.

5264880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24217 (or 24193 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 5264880768 is about 72559.4981239534. The cubic root of 5264880768 is about 1739.6538669401.

The spelling of 5264880768 in words is "five billion, two hundred sixty-four million, eight hundred eighty thousand, seven hundred sixty-eight".