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20965091328 = 21135103409
BaseRepresentation
bin10011100001100111…
…011110100000000000
32000010002111222200000
4103201213132200000
5320414030410303
613344202400000
71341351223146
oct234147364000
960102458600
1020965091328
11898927a465
124091200000
131c916117ac
14102c547596
1582a853da3
hex4e19de800

20965091328 has 288 divisors, whose sum is σ = 63558331200. Its totient is φ = 6903595008.

The previous prime is 20965091317. The next prime is 20965091347. The reversal of 20965091328 is 82319056902.

20965091328 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 509 + 132 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51259188 + ... + 51259596.

It is an arithmetic number, because the mean of its divisors is an integer number (220688650).

Almost surely, 220965091328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20965091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31779165600).

20965091328 is an abundant number, since it is smaller than the sum of its proper divisors (42593239872).

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

20965091328 is an equidigital number, since it uses as much as digits as its factorization.

20965091328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 20965091328 in words is "twenty billion, nine hundred sixty-five million, ninety-one thousand, three hundred twenty-eight".