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99214295040 = 217355789
BaseRepresentation
bin101110001100110100…
…0100000000000000000
3100111002102012101200000
41130121220200000000
53111142324420130
6113324534400000
710111423410330
oct1343150400000
9314072171600
1099214295040
1139092979363
121728a800000
139481ac3373
144b329770c0
1528aa288260
hex1719a20000

99214295040 has 864 divisors, whose sum is σ = 412214624640. Its totient is φ = 22422749184.

The previous prime is 99214295029. The next prime is 99214295071. The reversal of 99214295040 is 4059241299.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114767316 + ... + 1114767404.

It is an arithmetic number, because the mean of its divisors is an integer number (477100260).

Almost surely, 299214295040 is an apocalyptic number.

99214295040 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 99214295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206107312320).

99214295040 is an abundant number, since it is smaller than the sum of its proper divisors (313000329600).

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

99214295040 is an frugal number, since it uses more digits than its factorization.

99214295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 99214295040 in words is "ninety-nine billion, two hundred fourteen million, two hundred ninety-five thousand, forty".