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2286813525696 = 263371726214243
BaseRepresentation
bin100001010001110000101…
…101010011011011000000
322002121122222002120121000
4201101300231103123000
5244431343230310241
64510314142132000
7324134241151050
oct41216055233300
98077588076530
102286813525696
11801917688837
1230b249281000
1313785149155b
147c97a5a5560
153e742ba2eb6
hex21470b536c0

2286813525696 has 448 divisors, whose sum is σ = 8140184847360. Its totient is φ = 614561955840.

The previous prime is 2286813525683. The next prime is 2286813525721. The reversal of 2286813525696 is 6965253186822.

2286813525696 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 8 + 13 + 52 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×22868135256962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 538959351 + ... + 538963593.

Almost surely, 22286813525696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286813525696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070092423680).

2286813525696 is an abundant number, since it is smaller than the sum of its proper divisors (5853371321664).

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

2286813525696 is a wasteful number, since it uses less digits than its factorization.

2286813525696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909 (or 6893 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 2286813525696 in words is "two trillion, two hundred eighty-six billion, eight hundred thirteen million, five hundred twenty-five thousand, six hundred ninety-six".