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281060068900 = 225213383564491
BaseRepresentation
bin1000001011100000111…
…11000100111000100100
3222212110120002211122111
410011300133010320210
514101102334201100
6333041152410404
726206634111332
oct4056037047044
9885416084574
10281060068900
11a9219099786
124657a546a04
1320671c635a0
14d863962b52
15749ea3c6ba
hex41707c4e24

281060068900 has 72 divisors (see below), whose sum is σ = 658531851264. Its totient is φ = 103504886400.

The previous prime is 281060068897. The next prime is 281060068909. The reversal of 281060068900 is 9860060182.

It is not an unprimeable number, because it can be changed into a prime (281060068909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215655 + ... + 780145.

It is an arithmetic number, because the mean of its divisors is an integer number (9146275712).

Almost surely, 2281060068900 is an apocalyptic number.

281060068900 is a gapful number since it is divisible by the number (20) 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 281060068900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329265925632).

281060068900 is an abundant number, since it is smaller than the sum of its proper divisors (377471782364).

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

281060068900 is a wasteful number, since it uses less digits than its factorization.

281060068900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564901 (or 564894 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 281060068900 in words is "two hundred eighty-one billion, sixty million, sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 383 650 766 1300 1532 1915 3830 4979 7660 9575 9958 19150 19916 24895 38300 49790 99580 124475 248950 497900 564491 1128982 2257964 2822455 5644910 7338383 11289820 14112275 14676766 28224550 29353532 36691915 56449100 73383830 146767660 183459575 216200053 366919150 432400106 733838300 864800212 1081000265 2162000530 2810600689 4324001060 5405001325 5621201378 10810002650 11242402756 14053003445 21620005300 28106006890 56212013780 70265017225 140530034450 281060068900