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20116746937800 = 23335212829290383
BaseRepresentation
bin1001001001011110010111…
…00011100010010111001000
32122020010211200102102202000
410210233023203202113020
510114043044204002200
6110441301142111000
74144246512433632
oct444571343422710
978203750372660
1020116746937800
1164565122273a7
12230a915a1b460
13b2c002541416
144d7927525a52
1524d43945b300
hex124bcb8e25c8

20116746937800 has 192 divisors, whose sum is σ = 69296656992000. Its totient is φ = 5364029226240.

The previous prime is 20116746937783. The next prime is 20116746937843. The reversal of 20116746937800 is 873964761102.

20116746937800 is a `hidden beast` number, since 2 + 0 + 11 + 67 + 469 + 37 + 80 + 0 = 666.

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

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, 69131409 + ... + 69421791.

It is an arithmetic number, because the mean of its divisors is an integer number (360920088500).

Almost surely, 220116746937800 is an apocalyptic number.

20116746937800 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 20116746937800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34648328496000).

20116746937800 is an abundant number, since it is smaller than the sum of its proper divisors (49179910054200).

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

20116746937800 is a wasteful number, since it uses less digits than its factorization.

20116746937800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303237 (or 303222 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 20116746937800 in words is "twenty trillion, one hundred sixteen billion, seven hundred forty-six million, nine hundred thirty-seven thousand, eight hundred".