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5823426816 = 28327197367
BaseRepresentation
bin1010110110001101…
…00111000100000000
3120000211210201210200
411123012213010000
543411244124231
62401504125200
7264211211514
oct53306470400
916024721720
105823426816
112519199839
121166306800
1371a6248ac
143d35a8144
152413a9be6
hex15b1a7100

5823426816 has 216 divisors, whose sum is σ = 17249266944. Its totient is φ = 1888911360.

The previous prime is 5823426799. The next prime is 5823426893. The reversal of 5823426816 is 6186243285.

5823426816 is a `hidden beast` number, since 582 + 3 + 4 + 2 + 68 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (552960) is a multiple of the sum of its prime divisors (540).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15867465 + ... + 15867831.

Almost surely, 25823426816 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 5823426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624633472).

5823426816 is an abundant number, since it is smaller than the sum of its proper divisors (11425840128).

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

5823426816 is a wasteful number, since it uses less digits than its factorization.

5823426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 540 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 5823426816 is about 76311.3806453533. The cubic root of 5823426816 is about 1799.1175526374.

The spelling of 5823426816 in words is "five billion, eight hundred twenty-three million, four hundred twenty-six thousand, eight hundred sixteen".