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981240116168 = 231353293607573
BaseRepresentation
bin11100100011101100111…
…01111111001111001000
310110210202022101120210202
432101312131333033020
5112034034432204133
62030435301031332
7130615021241114
oct16216635771710
93423668346722
10981240116168
11349161512574
1213a2073b5548
13716b87bca70
14356c6b34744
151a7ce80c2e8
hexe47677f3c8

981240116168 has 64 divisors (see below), whose sum is σ = 2025627413040. Its totient is φ = 442817915904.

The previous prime is 981240116167. The next prime is 981240116177. The reversal of 981240116168 is 861611042189.

It can be written as a sum of positive squares in 8 ways, for example, as 907526780164 + 73713336004 = 952642^2 + 271502^2 .

It is not an unprimeable number, because it can be changed into a prime (981240116167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1311230 + ... + 1918802.

Almost surely, 2981240116168 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 981240116168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012813706520).

981240116168 is an abundant number, since it is smaller than the sum of its proper divisors (1044387296872).

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

981240116168 is a wasteful number, since it uses less digits than its factorization.

981240116168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607938 (or 607934 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 47.

The spelling of 981240116168 in words is "nine hundred eighty-one billion, two hundred forty million, one hundred sixteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 293 424 586 689 1172 1378 2344 2756 3809 5512 7618 15236 15529 30472 31058 62116 124232 201877 403754 607573 807508 1215146 1615016 2430292 4860584 7898449 15796898 31593796 32201369 63187592 64402738 128805476 178018889 257610952 356037778 418617797 712075556 837235594 1424151112 1674471188 2314245557 3348942376 4628491114 9256982228 9435001117 18513964456 18870002234 37740004468 75480008936 122655014521 245310029042 490620058084 981240116168