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5822820864 = 29337193167
BaseRepresentation
bin1010110110001000…
…10011001000000000
3120000210122221121000
411123010103020000
543411120231424
62401443132000
7264203106060
oct53304231000
916023587530
105822820864
112518915553
121166074000
1371a471b43
143d348b3a0
152412da3c9
hex15b113200

5822820864 has 320 divisors, whose sum is σ = 20741529600. Its totient is φ = 1575604224.

The previous prime is 5822820859. The next prime is 5822820893. The reversal of 5822820864 is 4680282285.

5822820864 is a `hidden beast` number, since 582 + 2 + 8 + 2 + 0 + 8 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837009 + ... + 1840175.

It is an arithmetic number, because the mean of its divisors is an integer number (64817280).

Almost surely, 25822820864 is an apocalyptic number.

5822820864 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 5822820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370764800).

5822820864 is an abundant number, since it is smaller than the sum of its proper divisors (14918708736).

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

5822820864 is a wasteful number, since it uses less digits than its factorization.

5822820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 5822820864 is about 76307.4102823572. The cubic root of 5822820864 is about 1799.0551485622.

The spelling of 5822820864 in words is "five billion, eight hundred twenty-two million, eight hundred twenty thousand, eight hundred sixty-four".