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5859874944 = 2732711312131
BaseRepresentation
bin1010111010100011…
…01001100010000000
3120010101101111020100
411131101221202000
544000111444234
62405245242400
7265133054340
oct53521514200
916111344210
105859874944
112537823860
121176563400
13725046831
143d8374d20
152446a9399
hex15d469880

5859874944 has 384 divisors, whose sum is σ = 21711605760. Its totient is φ = 1472256000.

The previous prime is 5859874927. The next prime is 5859874973. The reversal of 5859874944 is 4494789585.

5859874944 is a `hidden beast` number, since 58 + 5 + 98 + 7 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 2748759 + ... + 2750889.

It is an arithmetic number, because the mean of its divisors is an integer number (56540640).

Almost surely, 25859874944 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 5859874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10855802880).

5859874944 is an abundant number, since it is smaller than the sum of its proper divisors (15851730816).

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

5859874944 is a wasteful number, since it uses less digits than its factorization.

5859874944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2185 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The square root of 5859874944 is about 76549.8200128518. The cubic root of 5859874944 is about 1802.8632356674.

The spelling of 5859874944 in words is "five billion, eight hundred fifty-nine million, eight hundred seventy-four thousand, nine hundred forty-four".