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12010019976 = 2332166805833
BaseRepresentation
bin10110010111101101…
…00101110010001000
31010222222222020011200
423023312211302020
5144044031114401
65303424224200
7603422325333
oct131366456210
933888866150
1012010019976
115103385849
1223b216b060
1311952624c6
1481d0a961a
154a459e686
hex2cbda5c88

12010019976 has 24 divisors (see below), whose sum is σ = 32527137630. Its totient is φ = 4003339968.

The previous prime is 12010019899. The next prime is 12010019993. The reversal of 12010019976 is 67991001021.

12010019976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10125591876 + 1884428100 = 100626^2 + 43410^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12010019976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83402845 + ... + 83402988.

Almost surely, 212010019976 is an apocalyptic number.

It is an amenable number.

12010019976 is an abundant number, since it is smaller than the sum of its proper divisors (20517117654).

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

12010019976 is a wasteful number, since it uses less digits than its factorization.

12010019976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166805845 (or 166805838 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 12010019976 in words is "twelve billion, ten million, nineteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 166805833 333611666 500417499 667223332 1000834998 1334446664 1501252497 2001669996 3002504994 4003339992 6005009988 12010019976