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20028960927360 = 273557211613917
BaseRepresentation
bin1001000110111010110110…
…00110011110111010000000
32121220202020201120001100000
410203131123012132322000
510111123302444133420
6110333102211200000
74135021215603300
oct443353306367200
977822221501300
1020028960927360
116422264320450
1222b58b65a6000
13b2395230b248
144d359a6a7600
1524aeec661690
hex12375b19ee80

20028960927360 has 2304 divisors, whose sum is σ = 92534788644480. Its totient is φ = 4092589670400.

The previous prime is 20028960927319. The next prime is 20028960927389. The reversal of 20028960927360 is 6372906982002.

It is a happy number.

20028960927360 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 8 + 9 + 609 + 27 + 3 + 6 + 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 = 20028960927297 and 20028960927306.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5113340122 + ... + 5113344038.

Almost surely, 220028960927360 is an apocalyptic number.

20028960927360 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 20028960927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267394322240).

20028960927360 is an abundant number, since it is smaller than the sum of its proper divisors (72505827717120).

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

20028960927360 is a wasteful number, since it uses less digits than its factorization.

20028960927360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 20028960927360 in words is "twenty trillion, twenty-eight billion, nine hundred sixty million, nine hundred twenty-seven thousand, three hundred sixty".