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20722106496 = 2737131923259
BaseRepresentation
bin10011010011001000…
…100100000010000000
31222111011022002010210
4103103020210002000
5314414324401441
613304122354120
71332340666440
oct232310440200
958434262123
1020722106496
1188740a8353
12402395b940
131c531871a0
141008176120
15814358616
hex4d3224080

20722106496 has 768 divisors, whose sum is σ = 75809664000. Its totient is φ = 4868481024.

The previous prime is 20722106491. The next prime is 20722106507. The reversal of 20722106496 is 69460122702.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (20722106491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351222115 + ... + 351222173.

It is an arithmetic number, because the mean of its divisors is an integer number (98710500).

Almost surely, 220722106496 is an apocalyptic number.

20722106496 is a gapful number since it is divisible by the number (26) 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 20722106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37904832000).

20722106496 is an abundant number, since it is smaller than the sum of its proper divisors (55087557504).

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

20722106496 is a wasteful number, since it uses less digits than its factorization.

20722106496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 20722106496 in words is "twenty billion, seven hundred twenty-two million, one hundred six thousand, four hundred ninety-six".