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99804096000 = 293353737223
BaseRepresentation
bin101110011110011001…
…0011010011000000000
3100112121112000101111000
41130330302122120000
53113344322033000
6113503244052000
710132144550550
oct1347462323000
9315545011430
1099804096000
11393658a0574
1217414234000
13954705a90b
144b8b027160
1528e1e3e000
hex173cc9a600

99804096000 has 1280 divisors, whose sum is σ = 434692177920. Its totient is φ = 22096281600.

The previous prime is 99804095999. The next prime is 99804096001. The reversal of 99804096000 is 69040899.

It is an interprime number because it is at equal distance from previous prime (99804095999) and next prime (99804096001).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99804096001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 447551889 + ... + 447552111.

It is an arithmetic number, because the mean of its divisors is an integer number (339603264).

Almost surely, 299804096000 is an apocalyptic number.

99804096000 is a gapful number since it is divisible by the number (90) 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 99804096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217346088960).

99804096000 is an abundant number, since it is smaller than the sum of its proper divisors (334888081920).

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

99804096000 is a wasteful number, since it uses less digits than its factorization.

99804096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 99804096000 in words is "ninety-nine billion, eight hundred four million, ninety-six thousand".