Search a number
-
+
99164772096 = 28313173147401
BaseRepresentation
bin101110001011010101…
…1100101011100000000
3100110221222000100221220
41130112223211130000
53111042140201341
6113320005115040
710110252440505
oct1342653453400
9313858010856
1099164772096
1139067a24005
12172760b8a80
139474774150
144b2a1654ac
1528a5c54a66
hex1716ae5700

99164772096 has 576 divisors, whose sum is σ = 318052417536. Its totient is φ = 27131904000.

The previous prime is 99164772073. The next prime is 99164772107. The reversal of 99164772096 is 69027746199.

It is a congruent number.

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, 247293496 + ... + 247293896.

It is an arithmetic number, because the mean of its divisors is an integer number (552174336).

Almost surely, 299164772096 is an apocalyptic number.

99164772096 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 99164772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159026208768).

99164772096 is an abundant number, since it is smaller than the sum of its proper divisors (218887645440).

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

99164772096 is a wasteful number, since it uses less digits than its factorization.

99164772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 99164772096 in words is "ninety-nine billion, one hundred sixty-four million, seven hundred seventy-two thousand, ninety-six".