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96967068822 = 232133192331181
BaseRepresentation
bin101101001001110110…
…0000000110010010110
3100021021210122110211100
41122103230000302112
53042042032200242
6112313540450530
710001635325361
oct1322354006226
9307253573740
1096967068822
113813a423008
12169620a9a46
1391b4368000
14499c3250d8
1527c7d3d54c
hex1693b00c96

96967068822 has 384 divisors, whose sum is σ = 259480166400. Its totient is φ = 26020051200.

The previous prime is 96967068763. The next prime is 96967068823. The reversal of 96967068822 is 22886076969.

It is a super-2 number, since 2×969670688222 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96967068822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96967068823) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 535729572 + ... + 535729752.

It is an arithmetic number, because the mean of its divisors is an integer number (675729600).

Almost surely, 296967068822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96967068822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129740083200).

96967068822 is an abundant number, since it is smaller than the sum of its proper divisors (162513097578).

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

96967068822 is a wasteful number, since it uses less digits than its factorization.

96967068822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 96967068822 in words is "ninety-six billion, nine hundred sixty-seven million, sixty-eight thousand, eight hundred twenty-two".