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6130932727920 = 24357311213113419
BaseRepresentation
bin101100100110111100000…
…0100010100000001110000
3210201010000020120021200120
41121031320010110001300
51300422122234243140
621012302301450240
71201642141224000
oct131157004240160
923633006507616
106130932727920
111a54128767900
12830270b70980
133561b5549830
14172a4b0d4000
15a972db401d0
hex59378114070

6130932727920 has 1920 divisors, whose sum is σ = 26531801856000. Its totient is φ = 1162774609920.

The previous prime is 6130932727873. The next prime is 6130932727957. The reversal of 6130932727920 is 297272390316.

It is a super-2 number, since 2×61309327279202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14632297471 + ... + 14632297889.

It is an arithmetic number, because the mean of its divisors is an integer number (13818646800).

Almost surely, 26130932727920 is an apocalyptic number.

6130932727920 is a gapful number since it is divisible by the number (60) 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 6130932727920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265900928000).

6130932727920 is an abundant number, since it is smaller than the sum of its proper divisors (20400869128080).

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

6130932727920 is a wasteful number, since it uses less digits than its factorization.

6130932727920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The spelling of 6130932727920 in words is "six trillion, one hundred thirty billion, nine hundred thirty-two million, seven hundred twenty-seven thousand, nine hundred twenty".