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1116954198 = 234232910337
BaseRepresentation
bin100001010010011…
…0101111001010110
32212211202011010000
41002210311321112
54241420013243
6302500112130
736451645143
oct10244657126
92784664100
101116954198
11523545248
12272095646
1314a538959
14a84b33ca
15680d45d3
hex42935e56

1116954198 has 80 divisors (see below), whose sum is σ = 2701939680. Its totient is φ = 343816704.

The previous prime is 1116954191. The next prime is 1116954199. The reversal of 1116954198 is 8914596111.

1116954198 is a `hidden beast` number, since 1 + 1 + 16 + 9 + 541 + 98 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116954191) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102886 + ... + 113222.

It is an arithmetic number, because the mean of its divisors is an integer number (33774246).

Almost surely, 21116954198 is an apocalyptic number.

1116954198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116954198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350969840).

1116954198 is an abundant number, since it is smaller than the sum of its proper divisors (1584985482).

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

1116954198 is a wasteful number, since it uses less digits than its factorization.

1116954198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10394 counting only the distinct ones).

The product of its digits is 77760, while the sum is 45.

The square root of 1116954198 is about 33420.8647105367. The cubic root of 1116954198 is about 1037.5565782858.

The spelling of 1116954198 in words is "one billion, one hundred sixteen million, nine hundred fifty-four thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 81 87 138 162 174 207 261 414 522 621 667 783 1242 1334 1566 1863 2001 2349 3726 4002 4698 6003 10337 12006 18009 20674 31011 36018 54027 62022 93033 108054 186066 237751 279099 299773 475502 558198 599546 713253 837297 899319 1426506 1674594 1798638 2139759 2697957 4279518 5395914 6419277 6894779 8093871 12838554 13789558 16187742 19257831 20684337 24281613 38515662 41368674 48563226 62053011 124106022 186159033 372318066 558477099 1116954198