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5858002944 = 2113579149
BaseRepresentation
bin1010111010010101…
…00000100000000000
3120010020212101100000
411131022200200000
543444122043234
62405141200000
7265111126533
oct53512404000
916106771300
105858002944
112536765352
121175a00000
1372483c741
143d8008a1a
15244439899
hex15d2a0800

5858002944 has 288 divisors, whose sum is σ = 17886960000. Its totient is φ = 1915011072.

The previous prime is 5858002903. The next prime is 5858002957. The reversal of 5858002944 is 4492008585.

5858002944 is a `hidden beast` number, since 5 + 8 + 580 + 0 + 29 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 5858002944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39315382 + ... + 39315530.

It is an arithmetic number, because the mean of its divisors is an integer number (62107500).

Almost surely, 25858002944 is an apocalyptic number.

5858002944 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 5858002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8943480000).

5858002944 is an abundant number, since it is smaller than the sum of its proper divisors (12028957056).

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

5858002944 is an equidigital number, since it uses as much as digits as its factorization.

5858002944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5858002944 is about 76537.5917049916. The cubic root of 5858002944 is about 1802.6712338777.

The spelling of 5858002944 in words is "five billion, eight hundred fifty-eight million, two thousand, nine hundred forty-four".