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116010066180 = 223517587193757
BaseRepresentation
bin110110000001010111…
…1010010000100000100
3102002102221101222020210
41230002233102010010
53400042034104210
6125143322155420
711244560202201
oct1540257220404
9362387358223
10116010066180
1145221726858
121a597652b70
13ac2a6ab698
145887492ca8
15303ea6ce20
hex1b02bd2104

116010066180 has 96 divisors (see below), whose sum is σ = 344523424896. Its totient is φ = 29066500096.

The previous prime is 116010066173. The next prime is 116010066181. The reversal of 116010066180 is 81660010611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (116010066181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501862 + ... + 695618.

It is an arithmetic number, because the mean of its divisors is an integer number (3588785676).

Almost surely, 2116010066180 is an apocalyptic number.

116010066180 is a gapful number since it is divisible by the number (10) 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 116010066180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172261712448).

116010066180 is an abundant number, since it is smaller than the sum of its proper divisors (228513358716).

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

116010066180 is a wasteful number, since it uses less digits than its factorization.

116010066180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194373 (or 194371 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

Adding to 116010066180 its reverse (81660010611), we get a palindrome (197670076791).

The spelling of 116010066180 in words is "one hundred sixteen billion, ten million, sixty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 587 1020 1174 1761 2348 2935 3522 5870 7044 8805 9979 11740 17610 19958 29937 35220 39916 49895 59874 99790 119748 149685 193757 199580 299370 387514 581271 598740 775028 968785 1162542 1937570 2325084 2906355 3293869 3875140 5812710 6587738 9881607 11625420 13175476 16469345 19763214 32938690 39526428 49408035 65877380 98816070 113735359 197632140 227470718 341206077 454941436 568676795 682412154 1137353590 1364824308 1706030385 1933501103 2274707180 3412060770 3867002206 5800503309 6824121540 7734004412 9667505515 11601006618 19335011030 23202013236 29002516545 38670022060 58005033090 116010066180