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5869124352 = 283372133143
BaseRepresentation
bin1010111011101001…
…11011101100000000
3120011000210102001000
411131310323230000
544004443434402
62410215412000
7265304506500
oct53564735400
916130712030
105869124352
112541a70aa3
121179684000
13726c34860
143d96a1a00
152453d4c1c
hex15dd3bb00

5869124352 has 864 divisors, whose sum is σ = 22966056960. Its totient is φ = 1463132160.

The previous prime is 5869124351. The next prime is 5869124369. The reversal of 5869124352 is 2534219685.

5869124352 is a `hidden beast` number, since 586 + 9 + 12 + 4 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 5869124298 and 5869124307.

It is not an unprimeable number, because it can be changed into a prime (5869124351) by changing a digit.

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, 136491243 + ... + 136491285.

Almost surely, 25869124352 is an apocalyptic number.

5869124352 is a gapful number since it is divisible by the number (52) 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 5869124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483028480).

5869124352 is an abundant number, since it is smaller than the sum of its proper divisors (17096932608).

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

5869124352 is a wasteful number, since it uses less digits than its factorization.

5869124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 5869124352 is about 76610.2104944243. The cubic root of 5869124352 is about 1803.8113020690.

The spelling of 5869124352 in words is "five billion, eight hundred sixty-nine million, one hundred twenty-four thousand, three hundred fifty-two".