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20662866720 = 253455961443
BaseRepresentation
bin10011001111100110…
…100101001100100000
31222100000211101110000
4103033212211030200
5314304143213340
613254204540000
71331021316636
oct231746451440
958300741400
1020662866720
118843716661
124007b51600
131c43b15272
141000355356
1580e055d30
hex4cf9a5320

20662866720 has 480 divisors, whose sum is σ = 75544539840. Its totient is φ = 5315880960.

The previous prime is 20662866703. The next prime is 20662866751. The reversal of 20662866720 is 2766826602.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×206628667202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46642819 + ... + 46643261.

It is an arithmetic number, because the mean of its divisors is an integer number (157384458).

Almost surely, 220662866720 is an apocalyptic number.

20662866720 is a gapful number since it is divisible by the number (20) 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 20662866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37772269920).

20662866720 is an abundant number, since it is smaller than the sum of its proper divisors (54881673120).

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

20662866720 is a wasteful number, since it uses less digits than its factorization.

20662866720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 20662866720 in words is "twenty billion, six hundred sixty-two million, eight hundred sixty-six thousand, seven hundred twenty".