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818208893401 = 312291792
BaseRepresentation
bin10111110100000010000…
…11001110100111011001
32220012221101101100212221
423322001003032213121
5101401142434042101
61423514024104041
7113053656561544
oct13720103164731
92805841340787
10818208893401
11296000653929
121126a8605021
135c206559203
142b85c80b85b
151643bbaeaa1
hexbe810ce9d9

818208893401 has 9 divisors (see below), whose sum is σ = 845483118453. Its totient is φ = 791787921660.

The previous prime is 818208893387. The next prime is 818208893429. The reversal of 818208893401 is 104398802818.

It is a happy number.

The square root of 818208893401 is 904549.

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

818208893401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 818208893401 - 213 = 818208885209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (818208893501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28026430 + ... + 28055608.

It is an arithmetic number, because the mean of its divisors is an integer number (93942568717).

Almost surely, 2818208893401 is an apocalyptic number.

818208893401 is the 904549-th square number.

818208893401 is the 452275-th centered octagonal number.

It is an amenable number.

818208893401 is a deficient number, since it is larger than the sum of its proper divisors (27274225052).

818208893401 is an frugal number, since it uses more digits than its factorization.

818208893401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58420 (or 29210 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 52.

The spelling of 818208893401 in words is "eight hundred eighteen billion, two hundred eight million, eight hundred ninety-three thousand, four hundred one".

Divisors: 1 31 961 29179 904549 28041019 851414041 26393835271 818208893401