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800931922704 = 24321724121072
BaseRepresentation
bin10111010011110110100…
…00110100001100010000
32211120100022201022121100
423221323100310030100
5101110302033011304
61411535410424400
7111602561004564
oct13517320641420
92746308638540
10800931922704
11289745210051
1210b286592100
135a6b206c224
142aaa00316a4
1515c7a027439
hexba7b434310

800931922704 has 405 divisors, whose sum is σ = 2463620517631. Its totient is φ = 242853089280.

The previous prime is 800931922691. The next prime is 800931922741. The reversal of 800931922704 is 407229139008.

The square root of 800931922704 is 894948.

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

It can be written as a sum of positive squares in 4 ways, for example, as 56425251600 + 744506671104 = 237540^2 + 862848^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 800931922704.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7485345019 + ... + 7485345125.

Almost surely, 2800931922704 is an apocalyptic number.

800931922704 is the 894948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800931922704

800931922704 is an abundant number, since it is smaller than the sum of its proper divisors (1662688594927).

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

800931922704 is a wasteful number, since it uses less digits than its factorization.

800931922704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 800931922704 in words is "eight hundred billion, nine hundred thirty-one million, nine hundred twenty-two thousand, seven hundred four".