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5112933840 = 24355737573
BaseRepresentation
bin1001100001100000…
…10010110111010000
3111012022212221200000
410300300102313100
540432402340330
62203203530000
7240463135440
oct46060226720
914168787600
105112933840
112194132963
12ba8389900
13636380451
1436709c120
151edd13560
hex130c12dd0

5112933840 has 240 divisors, whose sum is σ = 20351280768. Its totient is φ = 1168639488.

The previous prime is 5112933829. The next prime is 5112933871. The reversal of 5112933840 is 483392115.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51129338402 = 52284184904434291200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5112933795 and 5112933804.

It is a congruent number.

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, 117294 + ... + 154866.

Almost surely, 25112933840 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 5112933840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175640384).

5112933840 is an abundant number, since it is smaller than the sum of its proper divisors (15238346928).

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

5112933840 is a wasteful number, since it uses less digits than its factorization.

5112933840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37608 (or 37590 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5112933840 is about 71504.7819379935. The cubic root of 5112933840 is about 1722.7544921815.

The spelling of 5112933840 in words is "five billion, one hundred twelve million, nine hundred thirty-three thousand, eight hundred forty".