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6126396012 = 22331131723109
BaseRepresentation
bin1011011010010100…
…10110001001101100
3120210221220011102000
411231022112021230
5100021324133022
62451525532300
7304550335602
oct55512261154
916727804360
106126396012
112664211000
12122b874090
13768321cc9
14421911872
1525cca36ac
hex16d29626c

6126396012 has 384 divisors, whose sum is σ = 19479398400. Its totient is φ = 1655976960.

The previous prime is 6126396011. The next prime is 6126396041. The reversal of 6126396012 is 2106936216.

It is a happy number.

6126396012 is a `hidden beast` number, since 6 + 1 + 2 + 639 + 6 + 0 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6126396011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56205414 + ... + 56205522.

It is an arithmetic number, because the mean of its divisors is an integer number (50727600).

Almost surely, 26126396012 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 6126396012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739699200).

6126396012 is an abundant number, since it is smaller than the sum of its proper divisors (13353002388).

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

6126396012 is a wasteful number, since it uses less digits than its factorization.

6126396012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6126396012 is about 78271.2974978695. The cubic root of 6126396012 is about 1829.7918494775.

The spelling of 6126396012 in words is "six billion, one hundred twenty-six million, three hundred ninety-six thousand, twelve".