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98205156000 = 2533537129901
BaseRepresentation
bin101101101110101111…
…0111100001010100000
3100101111002022211011000
41123131132330022200
53102111004443000
6113040445152000
710044421024110
oct1333536741240
9311432284130
1098205156000
1138715283256
121704885b600
139350a06483
144a7892b040
15284b89e000
hex16dd7bc2a0

98205156000 has 384 divisors, whose sum is σ = 408536593920. Its totient is φ = 22446720000.

The previous prime is 98205155969. The next prime is 98205156013. The reversal of 98205156000 is 65150289.

It is a happy number.

98205156000 is a `hidden beast` number, since 9 + 82 + 0 + 515 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691050 + ... + 820950.

It is an arithmetic number, because the mean of its divisors is an integer number (1063897380).

Almost surely, 298205156000 is an apocalyptic number.

98205156000 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 98205156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204268296960).

98205156000 is an abundant number, since it is smaller than the sum of its proper divisors (310331437920).

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

98205156000 is a wasteful number, since it uses less digits than its factorization.

98205156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129942 (or 129918 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 98205156000 in words is "ninety-eight billion, two hundred five million, one hundred fifty-six thousand".