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20412222984 = 2332283503097
BaseRepresentation
bin10011000000101010…
…011100111000001000
31221200120012100212200
4103000222130320020
5313301012113414
613213252440200
71321556014116
oct230052347010
957616170780
1020412222984
11872519327a
123b58019060
131c03c0886a
14db8d4cab6
157e7046109
hex4c0a9ce08

20412222984 has 24 divisors (see below), whose sum is σ = 55283104110. Its totient is φ = 6804074304.

The previous prime is 20412222967. The next prime is 20412222997. The reversal of 20412222984 is 48922221402.

It can be written as a sum of positive squares in only one way, i.e., 15630500484 + 4781722500 = 125022^2 + 69150^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141751477 + ... + 141751620.

Almost surely, 220412222984 is an apocalyptic number.

20412222984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20412222984 is an abundant number, since it is smaller than the sum of its proper divisors (34870881126).

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

20412222984 is a wasteful number, since it uses less digits than its factorization.

20412222984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283503109 (or 283503102 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20412222984 in words is "twenty billion, four hundred twelve million, two hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 283503097 567006194 850509291 1134012388 1701018582 2268024776 2551527873 3402037164 5103055746 6804074328 10206111492 20412222984