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20381559696 = 2432118972
BaseRepresentation
bin10010111110110101…
…011110101110010000
31221121102111111202100
4102332311132232100
5313220134402241
613210235320400
71321034253561
oct227665365620
957542444670
1020381559696
11870994a513
123b498b0100
131bca7609c4
14db4c4a168
157e44da9b6
hex4bed5eb90

20381559696 has 45 divisors (see below), whose sum is σ = 57044854321. Its totient is φ = 6793282176.

The previous prime is 20381559689. The next prime is 20381559707. The reversal of 20381559696 is 69695518302.

It is a happy number.

The square root of 20381559696 is 142764.

It is a perfect power (a square), and thus also a powerful number.

20381559696 is a `hidden beast` number, since 2 + 0 + 3 + 81 + 559 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20272064400 + 109495296 = 142380^2 + 10464^2 .

It is a super-2 number, since 2×203815596962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1707220 + ... + 1719116.

Almost surely, 220381559696 is an apocalyptic number.

20381559696 is the 142764-th square number.

It is an amenable number.

20381559696 is an abundant number, since it is smaller than the sum of its proper divisors (36663294625).

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

20381559696 is an frugal number, since it uses more digits than its factorization.

20381559696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23808 (or 11902 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 20381559696 in words is "twenty billion, three hundred eighty-one million, five hundred fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11897 23794 35691 47588 71382 95176 107073 142764 190352 214146 285528 428292 571056 856584 1713168 141538609 283077218 424615827 566154436 849231654 1132308872 1273847481 1698463308 2264617744 2547694962 3396926616 5095389924 6793853232 10190779848 20381559696