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800844848080 = 24589112478209
BaseRepresentation
bin10111010011101100001…
…00101001101111010000
32211120010020212110200021
423221312010221233100
5101110112240114310
61411523020233224
7111600452614654
oct13516604515720
92746106773607
10800844848080
11289700047652
1210b26139b814
135a69a002994
142aa92646a64
1515c725775da
hexba76129bd0

800844848080 has 40 divisors (see below), whose sum is σ = 1882885235400. Its totient is φ = 316738633728.

The previous prime is 800844848059. The next prime is 800844848101. The reversal of 800844848080 is 80848448008.

It is a happy number.

800844848080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (800844848059) and next prime (800844848101).

It can be written as a sum of positive squares in 4 ways, for example, as 4709802384 + 796135045696 = 68628^2 + 892264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 56231985 + ... + 56246224.

It is an arithmetic number, because the mean of its divisors is an integer number (47072130885).

Almost surely, 2800844848080 is an apocalyptic number.

800844848080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800844848080 is an abundant number, since it is smaller than the sum of its proper divisors (1082040387320).

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

800844848080 is a wasteful number, since it uses less digits than its factorization.

800844848080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112478311 (or 112478305 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 800844848080 in words is "eight hundred billion, eight hundred forty-four million, eight hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 112478209 224956418 449912836 562391045 899825672 1124782090 1799651344 2249564180 4499128360 8998256720 10010560601 20021121202 40042242404 50052803005 80084484808 100105606010 160168969616 200211212020 400422424040 800844848080