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99117496320 = 2113517533581
BaseRepresentation
bin101110001001111011…
…1001111100000000000
3100110211200001111210020
41130103313033200000
53110443034340240
6113311155533440
710106136550323
oct1342367174000
9313750044706
1099117496320
1139043274017
12172622ba280
139467a30a0b
144b23b7a7ba
1528a1a170d0
hex1713dcf800

99117496320 has 384 divisors, whose sum is σ = 342181869120. Its totient is φ = 24400363520.

The previous prime is 99117496319. The next prime is 99117496333. The reversal of 99117496320 is 2369471199.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 27676930 + ... + 27680510.

Almost surely, 299117496320 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 99117496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171090934560).

99117496320 is an abundant number, since it is smaller than the sum of its proper divisors (243064372800).

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

99117496320 is a wasteful number, since it uses less digits than its factorization.

99117496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 99117496320 in words is "ninety-nine billion, one hundred seventeen million, four hundred ninety-six thousand, three hundred twenty".