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20922789888000 = 2153653721113
BaseRepresentation
bin1001100000111011101110…
…11101011000000000000000
32202002012101012102212000000
410300131313131120000000
510220244333202404000
6112255444052000000
74256423144450400
oct460356735300000
982065335385000
1020922789888000
11673733a488010
12241ab88000000
13b8a01a444170
1452495027a800
152643b301c000
hex130777758000

20922789888000 has 5376 divisors, whose sum is σ = 107004539285280. Its totient is φ = 4013162496000.

The previous prime is 20922789887947. The next prime is 20922789888023. The reversal of 20922789888000 is 88898722902.

It is a factorial (20922789888000 = 16 ! = 1 ⋅ 2 ⋅ 3 ⋅ 4 ⋅ 5 ⋅ 6 ⋅ 7 ⋅ 8 ⋅ 9 ⋅ 10 ⋅ 11 ⋅ 12 ⋅ 13 ⋅ 14 ⋅ 15 ⋅ 16 ), and thus also a Jordan-Polya number.

20922789888000 is a `hidden beast` number, since 209 + 2 + 278 + 9 + 88 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1609445375994 + ... + 1609445376006.

Almost surely, 220922789888000 is an apocalyptic number.

20922789888000 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 20922789888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53502269642640).

20922789888000 is an abundant number, since it is smaller than the sum of its proper divisors (86081749397280).

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

20922789888000 is an frugal number, since it uses more digits than its factorization.

20922789888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 20922789888000 in words is "twenty trillion, nine hundred twenty-two billion, seven hundred eighty-nine million, eight hundred eighty-eight thousand".