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6400835112 = 2337231337521
BaseRepresentation
bin1011111011000010…
…01111111000101000
3121112002022010002010
411331201033320220
5101102103210422
62535052035520
7314422125600
oct57541177050
917462263063
106400835112
112795117181
1212a7762ba0
137b01404c9
1444a14dc00
15276e13b0c
hex17d84fe28

6400835112 has 192 divisors, whose sum is σ = 19309155840. Its totient is φ = 1761177600.

The previous prime is 6400835099. The next prime is 6400835141. The reversal of 6400835112 is 2115380046.

It is a self number, because there is not a number n which added to its sum of digits gives 6400835112.

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, 12285412 + ... + 12285932.

It is an arithmetic number, because the mean of its divisors is an integer number (100568520).

Almost surely, 26400835112 is an apocalyptic number.

6400835112 is a gapful number since it is divisible by the number (62) 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 6400835112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9654577920).

6400835112 is an abundant number, since it is smaller than the sum of its proper divisors (12908320728).

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

6400835112 is a wasteful number, since it uses less digits than its factorization.

6400835112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6400835112 is about 80005.2192797445. The cubic root of 6400835112 is about 1856.7162850690.

The spelling of 6400835112 in words is "six billion, four hundred million, eight hundred thirty-five thousand, one hundred twelve".