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98964044190 = 2335112311171297
BaseRepresentation
bin101110000101010110…
…1110111100110011110
3100110102222022100001000
41130022231313212132
53110134243403230
6113244034531130
710102264332114
oct1341255674636
9313388270030
1098964044190
1138a74694180
121721aa36aa6
139441cc373b
144b0b633ab4
152893304b60
hex170ab7799e

98964044190 has 256 divisors, whose sum is σ = 300913367040. Its totient is φ = 22909962240.

The previous prime is 98964044161. The next prime is 98964044191. The reversal of 98964044190 is 9144046989.

It is a happy number.

It is a super-2 number, since 2×989640441902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98964044191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76301622 + ... + 76302918.

It is an arithmetic number, because the mean of its divisors is an integer number (1175442840).

Almost surely, 298964044190 is an apocalyptic number.

98964044190 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98964044190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150456683520).

98964044190 is an abundant number, since it is smaller than the sum of its proper divisors (201949322850).

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

98964044190 is a wasteful number, since it uses less digits than its factorization.

98964044190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 98964044190 in words is "ninety-eight billion, nine hundred sixty-four million, forty-four thousand, one hundred ninety".