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98022081024 = 2932719414783
BaseRepresentation
bin101101101001010010…
…0100100001000000000
3100101000022211122111100
41123102210210020000
53101222123043044
6113010345214400
710040035640610
oct1332244441000
9311008748440
1098022081024
1138630a0031a
1216bb7491400
139321ac6a9a
144a5c4b2a40
15283a789869
hex16d2924200

98022081024 has 960 divisors, whose sum is σ = 360336936960. Its totient is φ = 25029181440.

The previous prime is 98022080999. The next prime is 98022081029. The reversal of 98022081024 is 42018022089.

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

It is a self number, because there is not a number n which added to its sum of digits gives 98022081024.

It is not an unprimeable number, because it can be changed into a prime (98022081029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1180988887 + ... + 1180988969.

It is an arithmetic number, because the mean of its divisors is an integer number (375350976).

Almost surely, 298022081024 is an apocalyptic number.

98022081024 is a gapful number since it is divisible by the number (94) 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 98022081024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180168468480).

98022081024 is an abundant number, since it is smaller than the sum of its proper divisors (262314855936).

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

98022081024 is a wasteful number, since it uses less digits than its factorization.

98022081024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 98022081024 in words is "ninety-eight billion, twenty-two million, eighty-one thousand, twenty-four".