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2012158368 = 2533112191013
BaseRepresentation
bin111011111101111…
…0001100110100000
312012020020020101000
41313323301212200
513110103031433
6531355312000
7100602030633
oct16773614640
95166206330
102012158368
119428a1400
12481a4b600
13260b4346c
14151341c1a
15bb9b5113
hex77ef19a0

2012158368 has 288 divisors, whose sum is σ = 6797044800. Its totient is φ = 577082880.

The previous prime is 2012158339. The next prime is 2012158391. The reversal of 2012158368 is 8638512102.

It is a happy number.

2012158368 is a `hidden beast` number, since 2 + 0 + 12 + 1 + 583 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 1985830 + ... + 1986842.

It is an arithmetic number, because the mean of its divisors is an integer number (23600850).

Almost surely, 22012158368 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 2012158368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398522400).

2012158368 is an abundant number, since it is smaller than the sum of its proper divisors (4784886432).

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

2012158368 is a wasteful number, since it uses less digits than its factorization.

2012158368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2012158368 is about 44857.0882693025. The cubic root of 2012158368 is about 1262.4689910104.

The spelling of 2012158368 in words is "two billion, twelve million, one hundred fifty-eight thousand, three hundred sixty-eight".