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81241187800 = 23521753450839
BaseRepresentation
bin100101110101001011…
…0100010010111011000
321202200211121221120111
41023222112202113120
52312340221002200
6101153252334104
75604142462633
oct1135226422730
9252624557514
1081241187800
11314aa594923
12138b3614334
13787931a676
143d0994ac1a
1521a74430ba
hex12ea5a25d8

81241187800 has 96 divisors (see below), whose sum is σ = 203770663200. Its totient is φ = 30007777280.

The previous prime is 81241187773. The next prime is 81241187813. The reversal of 81241187800 is 878114218.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45220 + ... + 405619.

It is an arithmetic number, because the mean of its divisors is an integer number (2122611075).

Almost surely, 281241187800 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 81241187800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101885331600).

81241187800 is an abundant number, since it is smaller than the sum of its proper divisors (122529475400).

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

81241187800 is a wasteful number, since it uses less digits than its factorization.

81241187800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450925 (or 450916 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The spelling of 81241187800 in words is "eighty-one billion, two hundred forty-one million, one hundred eighty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 53 68 85 100 106 136 170 200 212 265 340 424 425 530 680 850 901 1060 1325 1700 1802 2120 2650 3400 3604 4505 5300 7208 9010 10600 18020 22525 36040 45050 90100 180200 450839 901678 1803356 2254195 3606712 4508390 7664263 9016780 11270975 15328526 18033560 22541950 23894467 30657052 38321315 45083900 47788934 61314104 76642630 90167800 95577868 119472335 153285260 191155736 191606575 238944670 306570520 383213150 406205939 477889340 597361675 766426300 812411878 955778680 1194723350 1532852600 1624823756 2031029695 2389446700 3249647512 4062059390 4778893400 8124118780 10155148475 16248237560 20310296950 40620593900 81241187800