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20185656830640 = 24325737131826303
BaseRepresentation
bin1001001011011110101101…
…11001111010101010110000
32122110201201010112200201100
410211233112321322222300
510121210211122040030
6110533055052204400
74152236252032410
oct445572671725260
978421633480640
1020185656830640
116482764050864
122320147769700
13b35664b8cc42
144dadc3456640
1525011dedc360
hex125bd6e7aab0

20185656830640 has 480 divisors, whose sum is σ = 80175867273216. Its totient is φ = 4454891550720.

The previous prime is 20185656830623. The next prime is 20185656830659. The reversal of 20185656830640 is 4603865658102.

20185656830640 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 5 + 6 + 568 + 30 + 6 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24015729 + ... + 24842031.

Almost surely, 220185656830640 is an apocalyptic number.

20185656830640 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 20185656830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40087933636608).

20185656830640 is an abundant number, since it is smaller than the sum of its proper divisors (59990210442576).

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

20185656830640 is a wasteful number, since it uses less digits than its factorization.

20185656830640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826497 (or 826488 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 20185656830640 in words is "twenty trillion, one hundred eighty-five billion, six hundred fifty-six million, eight hundred thirty thousand, six hundred forty".