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20593751040 = 2103451723127
BaseRepresentation
bin10011001011011110…
…111011010000000000
31222011012202221120000
4103023132323100000
5314134000013130
613243255320000
71326221665332
oct231336732000
958135687500
1020593751040
1188086a9a65
123ba8980000
131c326c6105
14dd50c3452
15807e52260
hex4cb7bb400

20593751040 has 880 divisors, whose sum is σ = 82176602112. Its totient is φ = 4904976384.

The previous prime is 20593751033. The next prime is 20593751069. The reversal of 20593751040 is 4015739502.

20593751040 is a `hidden beast` number, since 20 + 59 + 37 + 510 + 40 = 666.

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 = 20593750986 and 20593751004.

It is a congruent number.

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, 162155457 + ... + 162155583.

Almost surely, 220593751040 is an apocalyptic number.

20593751040 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 20593751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41088301056).

20593751040 is an abundant number, since it is smaller than the sum of its proper divisors (61582851072).

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

20593751040 is a wasteful number, since it uses less digits than its factorization.

20593751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 20593751040 in words is "twenty billion, five hundred ninety-three million, seven hundred fifty-one thousand, forty".