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20607774768 = 2432733143313
BaseRepresentation
bin10011001100010100…
…011011000000110000
31222012012011102111100
4103030110123000300
5314201042243033
613244520044400
71326452124000
oct231424330060
958165142440
1020607774768
118815608219
123bb1603700
131c35596289
14dd6cd4000
158092c2513
hex4cc51b030

20607774768 has 480 divisors, whose sum is σ = 71268454400. Its totient is φ = 5547709440.

The previous prime is 20607774751. The next prime is 20607774791. The reversal of 20607774768 is 86747770602.

20607774768 is a `hidden beast` number, since 20 + 607 + 7 + 7 + 4 + 7 + 6 + 8 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 65839380 + ... + 65839692.

Almost surely, 220607774768 is an apocalyptic number.

20607774768 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 20607774768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35634227200).

20607774768 is an abundant number, since it is smaller than the sum of its proper divisors (50660679632).

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

20607774768 is a wasteful number, since it uses less digits than its factorization.

20607774768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 20607774768 in words is "twenty billion, six hundred seven million, seven hundred seventy-four thousand, seven hundred sixty-eight".