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6096625920 = 283357112979
BaseRepresentation
bin1011010110110001…
…10010000100000000
3120201212212200112000
411223120302010000
544441214012140
62444543504000
7304036315410
oct55330620400
916655780460
106096625920
112649428320
1212218b8000
137620ca878
1441b9a2640
1525a372a30
hex16b632100

6096625920 has 1152 divisors, whose sum is σ = 28256256000. Its totient is φ = 1207664640.

The previous prime is 6096625897. The next prime is 6096625979. The reversal of 6096625920 is 295266906.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77172441 + ... + 77172519.

It is an arithmetic number, because the mean of its divisors is an integer number (24528000).

Almost surely, 26096625920 is an apocalyptic number.

6096625920 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 6096625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128000).

6096625920 is an abundant number, since it is smaller than the sum of its proper divisors (22159630080).

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

6096625920 is a wasteful number, since it uses less digits than its factorization.

6096625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6096625920 is about 78080.8934375113. The cubic root of 6096625920 is about 1826.8231903335.

The spelling of 6096625920 in words is "six billion, ninety-six million, six hundred twenty-five thousand, nine hundred twenty".