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5800931136 = 26327111310061
BaseRepresentation
bin1010110011100001…
…10010111101000000
3112222021110211112100
411121300302331000
543340014244021
62355342030400
7263516046450
oct53160627500
915867424470
105800931136
112507524470
12115a878400
13715a79540
143d05cdd60
1523e414626
hex159c32f40

5800931136 has 336 divisors, whose sum is σ = 22327014528. Its totient is φ = 1390694400.

The previous prime is 5800931119. The next prime is 5800931183. The reversal of 5800931136 is 6311390085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×58009311362 = 67301604089228500992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5800931136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571546 + ... + 581606.

It is an arithmetic number, because the mean of its divisors is an integer number (66449448).

Almost surely, 25800931136 is an apocalyptic number.

5800931136 is a gapful number since it is divisible by the number (56) 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 5800931136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163507264).

5800931136 is an abundant number, since it is smaller than the sum of its proper divisors (16526083392).

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

5800931136 is a wasteful number, since it uses less digits than its factorization.

5800931136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5800931136 is about 76163.8440206375. The cubic root of 5800931136 is about 1796.7979219125.

The spelling of 5800931136 in words is "five billion, eight hundred million, nine hundred thirty-one thousand, one hundred thirty-six".