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20037775680 = 2633513213723
BaseRepresentation
bin10010101010010110…
…000011000101000000
31220201110121110202000
4102222112003011000
5312014132310210
613112155024000
71306361166036
oct225226030500
956643543660
1020037775680
11855289049a
123a7273b000
131b74472c00
14d8131a556
157c422dac0
hex4aa583140

20037775680 has 336 divisors, whose sum is σ = 76550276160. Its totient is φ = 4932016128.

The previous prime is 20037775673. The next prime is 20037775757. The reversal of 20037775680 is 8657773002.

20037775680 is a `hidden beast` number, since 200 + 377 + 75 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1453299 + ... + 1467021.

Almost surely, 220037775680 is an apocalyptic number.

20037775680 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 20037775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38275138080).

20037775680 is an abundant number, since it is smaller than the sum of its proper divisors (56512500480).

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

20037775680 is a wasteful number, since it uses less digits than its factorization.

20037775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13775 (or 13746 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 20037775680 in words is "twenty billion, thirty-seven million, seven hundred seventy-five thousand, six hundred eighty".