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20062682640 = 24355711131031
BaseRepresentation
bin10010101011110101…
…000011111000010000
31220210012110212200000
4102223311003320100
5312042021321030
613114444530000
71310112663060
oct225365037020
956705425600
1020062682640
118565952460
123a7ab50900
131b79683960
14d847613a0
157c64ed860
hex4abd43e10

20062682640 has 960 divisors, whose sum is σ = 93905989632. Its totient is φ = 3844454400.

The previous prime is 20062682623. The next prime is 20062682771. The reversal of 20062682640 is 4628626002.

20062682640 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 2 + 6 + 8 + 2 + 640 = 666.

It is a super-2 number, since 2×200626826402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20062682595 and 20062682604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19458925 + ... + 19459955.

Almost surely, 220062682640 is an apocalyptic number.

20062682640 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 20062682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46952994816).

20062682640 is an abundant number, since it is smaller than the sum of its proper divisors (73843306992).

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

20062682640 is a wasteful number, since it uses less digits than its factorization.

20062682640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20062682640 in words is "twenty billion, sixty-two million, six hundred eighty-two thousand, six hundred forty".