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98419107024 = 2434731615737
BaseRepresentation
bin101101110101000111…
…1000110010011010000
3100102000222220122210000
41123222033012103100
53103030242411044
6113114011010000
710052626415040
oct1335217062320
9312028818700
1098419107024
1138815024887
12170a8439900
139386136804
144a99101720
152860561d69
hex16ea3c64d0

98419107024 has 400 divisors, whose sum is σ = 341616833536. Its totient is φ = 26761881600.

The previous prime is 98419106971. The next prime is 98419107041. The reversal of 98419107024 is 42070191489.

It is a happy number.

It is a super-2 number, since 2×984191070242 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17152284 + ... + 17158020.

Almost surely, 298419107024 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 98419107024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170808416768).

98419107024 is an abundant number, since it is smaller than the sum of its proper divisors (243197726512).

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

98419107024 is a wasteful number, since it uses less digits than its factorization.

98419107024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 98419107024 in words is "ninety-eight billion, four hundred nineteen million, one hundred seven thousand, twenty-four".