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20922053395320 = 233257112953607809
BaseRepresentation
bin1001100000111010010111…
…00011111000001101111000
32202002010110212121010222100
410300131023203320031320
510220241331132122240
6112255243022223400
74256365662406410
oct460351343701570
982063425533870
1020922053395320
116736aa1783180
12241aa01424b60
13b89c3099878c
145248c0523640
1526436d53be30
hex13074b8f8378

20922053395320 has 1536 divisors, whose sum is σ = 89610872832000. Its totient is φ = 4106462330880.

The previous prime is 20922053395307. The next prime is 20922053395333. The reversal of 20922053395320 is 2359335022902.

20922053395320 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 2 + 0 + 533 + 95 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20922053395307) and next prime (20922053395333).

It is a super-2 number, since 2×209220533953202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25861623076 + ... + 25861623884.

It is an arithmetic number, because the mean of its divisors is an integer number (58340412000).

Almost surely, 220922053395320 is an apocalyptic number.

20922053395320 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 20922053395320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44805436416000).

20922053395320 is an abundant number, since it is smaller than the sum of its proper divisors (68688819436680).

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

20922053395320 is a wasteful number, since it uses less digits than its factorization.

20922053395320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 20922053395320 in words is "twenty trillion, nine hundred twenty-two billion, fifty-three million, three hundred ninety-five thousand, three hundred twenty".