Search a number
-
+
18914238900 = 22325241512581
BaseRepresentation
bin10001100111011000…
…000110000110110100
31210211011110220000200
4101213120012012310
5302214021121100
612404501440500
71236466243434
oct214730060664
953734426020
1018914238900
11802665a6a7
1237ba410130
131a2577104b
14cb60122c4
1575a798e00
hex4676061b4

18914238900 has 108 divisors (see below), whose sum is σ = 60731740524. Its totient is φ = 4920768000.

The previous prime is 18914238887. The next prime is 18914238911. The reversal of 18914238900 is 983241981.

It can be written as a sum of positive squares in 6 ways, for example, as 1665619344 + 17248619556 = 40812^2 + 131334^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 219391 + ... + 293190.

Almost surely, 218914238900 is an apocalyptic number.

18914238900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18914238900 is an abundant number, since it is smaller than the sum of its proper divisors (41817501624).

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

18914238900 is a wasteful number, since it uses less digits than its factorization.

18914238900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512642 (or 512632 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 18914238900 in words is "eighteen billion, nine hundred fourteen million, two hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 512581 1025162 1537743 2050324 2562905 3075486 4613229 5125810 6150972 7688715 9226458 10251620 12814525 15377430 18452916 21015821 23066145 25629050 30754860 38443575 42031642 46132290 51258100 63047463 76887150 84063284 92264580 105079105 115330725 126094926 153774300 189142389 210158210 230661450 252189852 315237315 378284778 420316420 461322900 525395525 630474630 756569556 945711945 1050791050 1260949260 1576186575 1891423890 2101582100 3152373150 3782847780 4728559725 6304746300 9457119450 18914238900