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21820008505 = 533629129769
BaseRepresentation
bin10100010100100100…
…101110100000111001
32002022200012021120011
4110110210232200321
5324141410233010
614005102301521
71401502004101
oct242444564071
962280167504
1021820008505
11928790a389
12428b5878a1
132099781c49
1410adcca201
1587a927a8a
hex51492e839

21820008505 has 8 divisors (see below), whose sum is σ = 26184990600. Its totient is φ = 17455353216.

The previous prime is 21820008499. The next prime is 21820008517. The reversal of 21820008505 is 50580002812.

It can be written as a sum of positive squares in 4 ways, for example, as 5149067049 + 16670941456 = 71757^2 + 129116^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21820008505 - 27 = 21820008377 is a prime.

It is a super-2 number, since 2×218200085052 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103261 + ... + 233029.

It is an arithmetic number, because the mean of its divisors is an integer number (3273123825).

Almost surely, 221820008505 is an apocalyptic number.

It is an amenable number.

21820008505 is a deficient number, since it is larger than the sum of its proper divisors (4364982095).

21820008505 is a wasteful number, since it uses less digits than its factorization.

21820008505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163403.

The product of its (nonzero) digits is 6400, while the sum is 31.

The spelling of 21820008505 in words is "twenty-one billion, eight hundred twenty million, eight thousand, five hundred five".

Divisors: 1 5 33629 129769 168145 648845 4364001701 21820008505