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20112837136704 = 26331319431278629
BaseRepresentation
bin1001001001010111000101…
…00000110101000101000000
32122012202202012102221221000
410210223202200311011000
510114012042301333304
6110435413153332000
74144050565611624
oct444534240650500
978182665387830
1020112837136704
11645489624aa24
12230a004567000
13b2b82b511350
144d7676171184
1524d2ab0a1939
hex124ae2835140

20112837136704 has 896 divisors, whose sum is σ = 69134557184000. Its totient is φ = 5680756924416.

The previous prime is 20112837136703. The next prime is 20112837136781. The reversal of 20112837136704 is 40763173821102.

20112837136704 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 283 + 7 + 1 + 367 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20112837136704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112837136703) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2330837862 + ... + 2330846490.

It is an arithmetic number, because the mean of its divisors is an integer number (77159104000).

Almost surely, 220112837136704 is an apocalyptic number.

20112837136704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112837136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34567278592000).

20112837136704 is an abundant number, since it is smaller than the sum of its proper divisors (49021720047296).

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

20112837136704 is a wasteful number, since it uses less digits than its factorization.

20112837136704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20112837136704 in words is "twenty trillion, one hundred twelve billion, eight hundred thirty-seven million, one hundred thirty-six thousand, seven hundred four".