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5292080640 = 2932571119157
BaseRepresentation
bin1001110110110111…
…01011111000000000
3111122210222112212200
410323123223320000
541314233040030
62233043353200
7245066641350
oct47333537000
914583875780
105292080640
112276272570
121038382800
13664515b82
14382bb2b60
1520e8edd60
hex13b6ebe00

5292080640 has 960 divisors, whose sum is σ = 24206307840. Its totient is φ = 1035141120.

The previous prime is 5292080611. The next prime is 5292080653. The reversal of 5292080640 is 460802925.

It is a happy number.

5292080640 is a `hidden beast` number, since 5 + 2 + 9 + 2 + 0 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×52920806402 = 56012235000525619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5292080595 and 5292080604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33707442 + ... + 33707598.

It is an arithmetic number, because the mean of its divisors is an integer number (25214904).

Almost surely, 25292080640 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 5292080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12103153920).

5292080640 is an abundant number, since it is smaller than the sum of its proper divisors (18914227200).

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

5292080640 is a wasteful number, since it uses less digits than its factorization.

5292080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5292080640 is about 72746.6881720398. The cubic root of 5292080640 is about 1742.6445715072.

The spelling of 5292080640 in words is "five billion, two hundred ninety-two million, eighty thousand, six hundred forty".