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945000099918 = 2327232911244379
BaseRepresentation
bin11011100000001100110…
…01010011000001001110
310100100012200102000100200
431300012121103001032
5110440330011144133
62002043235434330
7125162661213060
oct15600631230116
93310180360320
10945000099918
11334854a13a16
121331927559a6
136b161703874
1433a49a7d730
15198ace89913
hexdc0665304e

945000099918 has 96 divisors (see below), whose sum is σ = 2525937523200. Its totient is φ = 249355326528.

The previous prime is 945000099913. The next prime is 945000099919. The reversal of 945000099918 is 819990000549.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945000099913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5538148 + ... + 5706231.

It is an arithmetic number, because the mean of its divisors is an integer number (26311849200).

Almost surely, 2945000099918 is an apocalyptic number.

945000099918 is an abundant number, since it is smaller than the sum of its proper divisors (1580937423282).

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

945000099918 is a wasteful number, since it uses less digits than its factorization.

945000099918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244446 (or 11244443 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 945000099918 in words is "nine hundred forty-five billion, ninety-nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 29 42 46 58 63 69 87 126 138 161 174 203 207 261 322 406 414 483 522 609 667 966 1218 1334 1449 1827 2001 2898 3654 4002 4669 6003 9338 12006 14007 28014 42021 84042 11244379 22488758 33733137 67466274 78710653 101199411 157421306 202398822 236131959 258620717 326086991 472263918 517241434 652173982 708395877 775862151 978260973 1416791754 1551724302 1810345019 1956521946 2282608937 2327586453 2934782919 3620690038 4565217874 4655172906 5431035057 5869565838 6847826811 7500000793 10862070114 13695653622 15000001586 16293105171 20543480433 22500002379 32586210342 41086960866 45000004758 52500005551 67500007137 105000011102 135000014274 157500016653 315000033306 472500049959 945000099918