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20028840993360 = 2433580918116329
BaseRepresentation
bin1001000110111010100111…
…11100111110001001010000
32121220201221100212202211000
410203131103330332021100
510111123031243241420
6110333042244422000
74135015231305423
oct443352374761120
977821840782730
1020028840993360
116422202654241
1222b58823a7900
13b23933508394
144d35887a79ba
1524aee1d70690
hex123753f3e250

20028840993360 has 320 divisors, whose sum is σ = 69122566944000. Its totient is φ = 5330634301440.

The previous prime is 20028840993347. The next prime is 20028840993377. The reversal of 20028840993360 is 6339904882002.

It is a happy number.

20028840993360 is a `hidden beast` number, since 20 + 0 + 288 + 4 + 0 + 9 + 9 + 336 + 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 = 20028840993297 and 20028840993306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3164610676 + ... + 3164617004.

It is an arithmetic number, because the mean of its divisors is an integer number (216008021700).

Almost surely, 220028840993360 is an apocalyptic number.

20028840993360 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 20028840993360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34561283472000).

20028840993360 is an abundant number, since it is smaller than the sum of its proper divisors (49093725950640).

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

20028840993360 is a wasteful number, since it uses less digits than its factorization.

20028840993360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8971 (or 8959 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 20028840993360 in words is "twenty trillion, twenty-eight billion, eight hundred forty million, nine hundred ninety-three thousand, three hundred sixty".