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20916421032960 = 21035541273137
BaseRepresentation
bin1001100000101111110111…
…10110000111110000000000
32202001120221100022111100000
410300113323312013300000
510220143312241023320
6112252512101200000
74256106261205035
oct460277366076000
982046840274300
1020916421032960
116734671423a52
1224198ab100000
13b89543b1cc9b
1452450849338c
1526413dd23c90
hex1305fbd87c00

20916421032960 has 1584 divisors, whose sum is σ = 78662285458848. Its totient is φ = 5327950970880.

The previous prime is 20916421032953. The next prime is 20916421032961. The reversal of 20916421032960 is 6923012461902.

20916421032960 is a `hidden beast` number, since 2 + 0 + 91 + 64 + 210 + 3 + 296 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20916421032961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 152674606012 + ... + 152674606148.

Almost surely, 220916421032960 is an apocalyptic number.

20916421032960 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 20916421032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39331142729424).

20916421032960 is an abundant number, since it is smaller than the sum of its proper divisors (57745864425888).

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

20916421032960 is an equidigital number, since it uses as much as digits as its factorization.

20916421032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 20916421032960 in words is "twenty trillion, nine hundred sixteen billion, four hundred twenty-one million, thirty-two thousand, nine hundred sixty".