Search a number
-
+
21899212319520 = 25345191037731117
BaseRepresentation
bin1001111101010110011101…
…10001010110101100100000
32212112112200202111200220000
410332223032301112230200
510332244041323211040
6114324205333220000
74420110616254624
oct476531661265440
985475622450800
1021899212319520
116a83449496818
122558269a91600
13c2b118aaa043
14559cdb20b184
1527e9ae8d7130
hex13eacec56b20

21899212319520 has 960 divisors, whose sum is σ = 82323394433280. Its totient is φ = 5466733535232.

The previous prime is 21899212319519. The next prime is 21899212319573. The reversal of 21899212319520 is 2591321299812.

21899212319520 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 92 + 1 + 23 + 1 + 9 + 520 = 666.

21899212319520 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 19605382002 + ... + 19605383118.

It is an arithmetic number, because the mean of its divisors is an integer number (85753535868).

Almost surely, 221899212319520 is an apocalyptic number.

21899212319520 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 21899212319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41161697216640).

21899212319520 is an abundant number, since it is smaller than the sum of its proper divisors (60424182113760).

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

21899212319520 is a wasteful number, since it uses less digits than its factorization.

21899212319520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 21899212319520 in words is "twenty-one trillion, eight hundred ninety-nine billion, two hundred twelve million, three hundred nineteen thousand, five hundred twenty".