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817964683396 = 2272646012
BaseRepresentation
bin10111110011100100111…
…11101001000010000100
32220012022100212012201221
423321302133221002010
5101400142424332041
61423433501530124
7113044633043200
oct13716237510204
92805270765657
10817964683396
11295995815283
1211263a873944
135c197a93053
142b8381dbb00
15164255212d1
hexbe727e9084

817964683396 has 27 divisors (see below), whose sum is σ = 1665168167397. Its totient is φ = 350550866400.

The previous prime is 817964683391. The next prime is 817964683423. The reversal of 817964683396 is 693386469718.

The square root of 817964683396 is 904414.

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

817964683396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 738936228996 + 79028454400 = 859614^2 + 281120^2 .

It is not an unprimeable number, because it can be changed into a prime (817964683391) 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, 12629496 + ... + 12694096.

Almost surely, 2817964683396 is an apocalyptic number.

817964683396 is the 904414-th square number.

It is an amenable number.

817964683396 is an abundant number, since it is smaller than the sum of its proper divisors (847203484001).

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

817964683396 is an frugal number, since it uses more digits than its factorization.

817964683396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129220 (or 64610 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 70.

The spelling of 817964683396 in words is "eight hundred seventeen billion, nine hundred sixty-four million, six hundred eighty-three thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 64601 129202 258404 452207 904414 1808828 3165449 6330898 12661796 4173289201 8346578402 16693156804 29213024407 58426048814 116852097628 204491170849 408982341698 817964683396