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96826269696 = 213313378191
BaseRepresentation
bin101101000101101001…
…0111010000000000000
3100020220222201010201220
41122023102322000000
53041300011112241
6112251550555040
76665305466322
oct1321322720000
9306828633656
1096826269696
11380779a55a2
1216922b08a80
13919113b010
144987753612
1527ba7ca166
hex168b4ba000

96826269696 has 224 divisors, whose sum is σ = 285597892608. Its totient is φ = 28983951360.

The previous prime is 96826269647. The next prime is 96826269707. The reversal of 96826269696 is 69696262869.

It is a super-3 number, since 3×968262696963 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96826269696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11816961 + ... + 11825151.

It is an arithmetic number, because the mean of its divisors is an integer number (1274990592).

Almost surely, 296826269696 is an apocalyptic number.

96826269696 is a gapful number since it is divisible by the number (96) 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 96826269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142798946304).

96826269696 is an abundant number, since it is smaller than the sum of its proper divisors (188771622912).

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

96826269696 is a wasteful number, since it uses less digits than its factorization.

96826269696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8246 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 69.

The spelling of 96826269696 in words is "ninety-six billion, eight hundred twenty-six million, two hundred sixty-nine thousand, six hundred ninety-six".