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99167930400 = 25352711737351
BaseRepresentation
bin101110001011011011…
…1101000100000100000
3100110222011221211100010
41130112313220200200
53111043442233100
6113320200524520
710110321333420
oct1342667504040
9313864854303
1099167930400
1139069790980
1217277180740
13947530b876
144b2a748480
1528a617a750
hex1716de8820

99167930400 has 576 divisors, whose sum is σ = 408009885696. Its totient is φ = 20321280000.

The previous prime is 99167930333. The next prime is 99167930453. The reversal of 99167930400 is 403976199.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99167930400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13486725 + ... + 13494075.

It is an arithmetic number, because the mean of its divisors is an integer number (708350496).

Almost surely, 299167930400 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 99167930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204004942848).

99167930400 is an abundant number, since it is smaller than the sum of its proper divisors (308841955296).

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

99167930400 is a wasteful number, since it uses less digits than its factorization.

99167930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7465 (or 7452 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The spelling of 99167930400 in words is "ninety-nine billion, one hundred sixty-seven million, nine hundred thirty thousand, four hundred".