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20084332672 = 27439737619
BaseRepresentation
bin10010101101000111…
…101001100010000000
31220211201012210221001
4102231013221202000
5312113042121142
613120540541344
71310465003515
oct225507514200
956751183831
1020084332672
11857709a448
123a86251854
131b80cc4121
14d8759930c
157c83785b7
hex4ad1e9880

20084332672 has 64 divisors (see below), whose sum is σ = 41365447200. Its totient is φ = 9707249664.

The previous prime is 20084332649. The next prime is 20084332691. The reversal of 20084332672 is 27623348002.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515079 + ... + 552697.

Almost surely, 220084332672 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 20084332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20682723600).

20084332672 is an abundant number, since it is smaller than the sum of its proper divisors (21281114528).

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

20084332672 is an equidigital number, since it uses as much as digits as its factorization.

20084332672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37773 (or 37761 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 20084332672 in words is "twenty billion, eighty-four million, three hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 43 64 86 97 128 172 194 344 388 688 776 1376 1552 2752 3104 4171 5504 6208 8342 12416 16684 33368 37619 66736 75238 133472 150476 266944 300952 533888 601904 1203808 1617617 2407616 3235234 3649043 4815232 6470468 7298086 12940936 14596172 25881872 29192344 51763744 58384688 103527488 116769376 156908849 207054976 233538752 313817698 467077504 627635396 1255270792 2510541584 5021083168 10042166336 20084332672