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98914978008 = 233471137131409
BaseRepresentation
bin101110000011111001…
…0101100100011011000
3100110022112222111220000
41130013302230203120
53110034213244013
6113235123133000
710101130304040
oct1340762544330
9313275874800
1098914978008
1138a49a21010
1217206514160
139434aa43b2
144b04d00720
15288dd61973
hex1707cac8d8

98914978008 has 640 divisors, whose sum is σ = 358335014400. Its totient is φ = 24746342400.

The previous prime is 98914978007. The next prime is 98914978051. The reversal of 98914978008 is 80087941989.

98914978008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98914978007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 241845708 + ... + 241846116.

It is an arithmetic number, because the mean of its divisors is an integer number (559898460).

Almost surely, 298914978008 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 98914978008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179167507200).

98914978008 is an abundant number, since it is smaller than the sum of its proper divisors (259420036392).

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

98914978008 is a wasteful number, since it uses less digits than its factorization.

98914978008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 98914978008 in words is "ninety-eight billion, nine hundred fourteen million, nine hundred seventy-eight thousand, eight".