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12034771968 = 2103109127283
BaseRepresentation
bin10110011010101010…
…00000110000000000
31011001201112202112010
423031111000300000
5144121400200333
65310110532520
7604142605512
oct131525006000
934051482463
1012034771968
11511635133a
1223ba507140
13119a41a85b
148224adbb2
154a683d563
hex2cd540c00

12034771968 has 176 divisors, whose sum is σ = 32741519360. Its totient is φ = 3929554944.

The previous prime is 12034771849. The next prime is 12034772093. The reversal of 12034771968 is 86917743021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42525555 + ... + 42525837.

It is an arithmetic number, because the mean of its divisors is an integer number (186031360).

Almost surely, 212034771968 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 12034771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370759680).

12034771968 is an abundant number, since it is smaller than the sum of its proper divisors (20706747392).

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

12034771968 is a wasteful number, since it uses less digits than its factorization.

12034771968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 12034771968 in words is "twelve billion, thirty-four million, seven hundred seventy-one thousand, nine hundred sixty-eight".