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20873777274000 = 243553731197927
BaseRepresentation
bin1001011111100000011100…
…00101000101110010010000
32201220111212102120002100000
410233300032011011302100
510213443443440232000
6112221140401330000
74253036442221130
oct457601605056220
981814772502300
1020873777274000
116718579102752
122411589936900
13b85509116011
14522420b32ac0
15262e951b6000
hex12fc0e145c90

20873777274000 has 960 divisors, whose sum is σ = 89193843228672. Its totient is φ = 4617217728000.

The previous prime is 20873777273983. The next prime is 20873777274037. The reversal of 20873777274000 is 47277737802.

20873777274000 is a `hidden beast` number, since 20 + 87 + 3 + 77 + 72 + 7 + 400 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105363037 + ... + 105560963.

Almost surely, 220873777274000 is an apocalyptic number.

20873777274000 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 20873777274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44596921614336).

20873777274000 is an abundant number, since it is smaller than the sum of its proper divisors (68320065954672).

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

20873777274000 is a wasteful number, since it uses less digits than its factorization.

20873777274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198003 (or 197975 counting only the distinct ones).

The product of its (nonzero) digits is 6453888, while the sum is 54.

The spelling of 20873777274000 in words is "twenty trillion, eight hundred seventy-three billion, seven hundred seventy-seven million, two hundred seventy-four thousand".