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20793732860160 = 283751317192961
BaseRepresentation
bin1001011101001011010110…
…00011111000100100000000
32201121212020222212120000000
410232211223003320210000
510211141031103011120
6112120301540000000
74244204041016121
oct456455303704400
981555228776000
1020793732860160
116697633120917
1223b9b6b090000
13b7aac0a30630
1451c5ca116048
15260d5cd72990
hex12e96b0f8900

20793732860160 has 4608 divisors, whose sum is σ = 94273466112000. Its totient is φ = 4334215495680.

The previous prime is 20793732860137. The next prime is 20793732860161. The reversal of 20793732860160 is 6106823739702.

20793732860160 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 3 + 7 + 3 + 28 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20793732860097 and 20793732860106.

It is not an unprimeable number, because it can be changed into a prime (20793732860161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 340880866530 + ... + 340880866590.

It is an arithmetic number, because the mean of its divisors is an integer number (20458651500).

Almost surely, 220793732860160 is an apocalyptic number.

20793732860160 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 20793732860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47136733056000).

20793732860160 is an abundant number, since it is smaller than the sum of its proper divisors (73479733251840).

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

20793732860160 is a wasteful number, since it uses less digits than its factorization.

20793732860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 20793732860160 in words is "twenty trillion, seven hundred ninety-three billion, seven hundred thirty-two million, eight hundred sixty thousand, one hundred sixty".