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800516364480 = 2634576765851
BaseRepresentation
bin10111010011000100111…
…11100101100011000000
32211112021100202202220000
423221202133211203000
5101103424142130410
61411430243520000
7111556353553560
oct13514237454300
92745240682800
10800516364480
11289551688aa8
1210b18b389000
135a646c411a1
142aa60b7ada0
1515c537dddc0
hexba627e58c0

800516364480 has 560 divisors, whose sum is σ = 3302997240576. Its totient is φ = 180241459200.

The previous prime is 800516364469. The next prime is 800516364481. The reversal of 800516364480 is 84463615008.

800516364480 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 1 + 636 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-4 number, since 4×8005163644804 (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (800516364481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12123555 + ... + 12189405.

Almost surely, 2800516364480 is an apocalyptic number.

800516364480 is a gapful number since it is divisible by the number (80) 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 800516364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651498620288).

800516364480 is an abundant number, since it is smaller than the sum of its proper divisors (2502480876096).

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

800516364480 is a wasteful number, since it uses less digits than its factorization.

800516364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65954 (or 65935 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 800516364480 its reverse (84463615008), we get a palindrome (884979979488).

The spelling of 800516364480 in words is "eight hundred billion, five hundred sixteen million, three hundred sixty-four thousand, four hundred eighty".