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20702642688 = 293372132351
BaseRepresentation
bin10011010001111110…
…010100001000000000
31222102210200012211000
4103101332110020000
5314344334031223
613302145252000
71332013362600
oct232176241000
958383605730
1020702642688
118864113962
124019334000
131c4c130b40
14100574ac00
158127b1543
hex4d1f94200

20702642688 has 480 divisors, whose sum is σ = 76802584320. Its totient is φ = 5457715200.

The previous prime is 20702642683. The next prime is 20702642711. The reversal of 20702642688 is 88624620702.

It is not an unprimeable number, because it can be changed into a prime (20702642683) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8804713 + ... + 8807063.

It is an arithmetic number, because the mean of its divisors is an integer number (160005384).

Almost surely, 220702642688 is an apocalyptic number.

20702642688 is a gapful number since it is divisible by the number (28) 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 20702642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38401292160).

20702642688 is an abundant number, since it is smaller than the sum of its proper divisors (56099941632).

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

20702642688 is a wasteful number, since it uses less digits than its factorization.

20702642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 20702642688 in words is "twenty billion, seven hundred two million, six hundred forty-two thousand, six hundred eighty-eight".