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5276958624 = 2533743103197
BaseRepresentation
bin1001110101000011…
…11111111110100000
3111121202112021101000
410322201333332200
541301400133444
62231343312000
7244524260010
oct47241777640
914552467330
105276958624
112268784133
1210332ab600
1366134cb32
14380b97c40
1520d413469
hex13a87ffa0

5276958624 has 384 divisors, whose sum is σ = 18265927680. Its totient is φ = 1450939392.

The previous prime is 5276958613. The next prime is 5276958629. The reversal of 5276958624 is 4268596725.

5276958624 is a `hidden beast` number, since 5 + 2 + 7 + 6 + 9 + 5 + 8 + 624 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (5276958629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26786494 + ... + 26786690.

It is an arithmetic number, because the mean of its divisors is an integer number (47567520).

Almost surely, 25276958624 is an apocalyptic number.

5276958624 is a gapful number since it is divisible by the number (54) 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 5276958624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9132963840).

5276958624 is an abundant number, since it is smaller than the sum of its proper divisors (12988969056).

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

5276958624 is a wasteful number, since it uses less digits than its factorization.

5276958624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 5276958624 is about 72642.6777039503. The cubic root of 5276958624 is about 1740.9831304974.

The spelling of 5276958624 in words is "five billion, two hundred seventy-six million, nine hundred fifty-eight thousand, six hundred twenty-four".