Search a number
-
+
20995007215392 = 25327229241212869
BaseRepresentation
bin1001100011000010001111…
…11100100111011100100000
32202100002210011002012020100
410301201013330213130200
510222440233321343032
6112352550111542400
74264560564554400
oct461410774473440
982302704065210
1020995007215392
116764a29263a61
122430b8152aa00
13b93a89078c52
14528241560800
152661dd11d97c
hex131847f27720

20995007215392 has 432 divisors, whose sum is σ = 72145598124600. Its totient is φ = 5767666974720.

The previous prime is 20995007215381. The next prime is 20995007215409. The reversal of 20995007215392 is 29351270059902.

20995007215392 is a `hidden beast` number, since 2 + 0 + 99 + 500 + 7 + 2 + 15 + 39 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20355653452176 + 639353763216 = 4511724^2 + 799596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98522334 + ... + 98735202.

Almost surely, 220995007215392 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 20995007215392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36072799062300).

20995007215392 is an abundant number, since it is smaller than the sum of its proper divisors (51150590909208).

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

20995007215392 is a wasteful number, since it uses less digits than its factorization.

20995007215392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213169 (or 213151 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 20995007215392 in words is "twenty trillion, nine hundred ninety-five billion, seven million, two hundred fifteen thousand, three hundred ninety-two".