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99884760960 = 2735477011579
BaseRepresentation
bin101110100000110011…
…0000111111110000000
3100112211010210121000010
41131001212013332000
53114030444322320
6113515245024520
710134144313425
oct1350146077600
9315733717003
1099884760960
11393a7386326
1217437255140
13955a99186a
144b97a23d4c
1528e9074ae0
hex1741987f80

99884760960 has 256 divisors, whose sum is σ = 325826841600. Its totient is φ = 26015539200.

The previous prime is 99884760923. The next prime is 99884760967. The reversal of 99884760960 is 6906748899.

It is a junction number, because it is equal to n+sod(n) for n = 99884760891 and 99884760900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99884760967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 63257451 + ... + 63259029.

It is an arithmetic number, because the mean of its divisors is an integer number (1272761100).

Almost surely, 299884760960 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 99884760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162913420800).

99884760960 is an abundant number, since it is smaller than the sum of its proper divisors (225942080640).

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

99884760960 is a wasteful number, since it uses less digits than its factorization.

99884760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 99884760960 in words is "ninety-nine billion, eight hundred eighty-four million, seven hundred sixty thousand, nine hundred sixty".