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99616766832 = 2432111919916633
BaseRepresentation
bin101110011000110011…
…1110011101101110000
3100112010110112002011200
41130301213303231300
53113003343014312
6113432513011200
710124411355432
oct1346147635560
9315113462150
1099616766832
113927a082380
1217381553b00
1395172bba5b
144b701c2652
1528d07890dc
hex17319f3b70

99616766832 has 240 divisors, whose sum is σ = 321768096000. Its totient is φ = 28452695040.

The previous prime is 99616766713. The next prime is 99616766833. The reversal of 99616766832 is 23866761699.

99616766832 is a `hidden beast` number, since 9 + 9 + 616 + 7 + 6 + 6 + 8 + 3 + 2 = 666.

It is a super-2 number, since 2×996167668322 (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 99616766832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99616766833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5980788 + ... + 5997420.

It is an arithmetic number, because the mean of its divisors is an integer number (1340700400).

Almost surely, 299616766832 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 99616766832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160884048000).

99616766832 is an abundant number, since it is smaller than the sum of its proper divisors (222151329168).

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

99616766832 is a wasteful number, since it uses less digits than its factorization.

99616766832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16876 (or 16867 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 99616766832 in words is "ninety-nine billion, six hundred sixteen million, seven hundred sixty-six thousand, eight hundred thirty-two".