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9742218930 = 2325211351229
BaseRepresentation
bin10010001001010111…
…00111011010110010
3221010221200222222100
421010223213122302
5124423002001210
64250413321230
7463264331433
oct110453473262
927127628870
109742218930
11414a257304
121a7a796216
13bc34821b2
14685c1d48a
153c043d5c0
hex244ae76b2

9742218930 has 48 divisors (see below), whose sum is σ = 25342251480. Its totient is φ = 2596644864.

The previous prime is 9742218929. The next prime is 9742218931. The reversal of 9742218930 is 398122479.

9742218930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9742218929) and next prime (9742218931).

It can be written as a sum of positive squares in 4 ways, for example, as 2644324929 + 7097894001 = 51423^2 + 84249^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9742218931) 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 23 ways as a sum of consecutive naturals, for example, 164556 + ... + 215784.

Almost surely, 29742218930 is an apocalyptic number.

9742218930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9742218930 is an abundant number, since it is smaller than the sum of its proper divisors (15600032550).

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

9742218930 is a wasteful number, since it uses less digits than its factorization.

9742218930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53355 (or 53352 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9742218930 is about 98702.6794469127. The cubic root of 9742218930 is about 2135.7608843659.

The spelling of 9742218930 in words is "nine billion, seven hundred forty-two million, two hundred eighteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2113 4226 6339 10565 12678 19017 21130 31695 38034 51229 63390 95085 102458 153687 190170 256145 307374 461061 512290 768435 922122 1536870 2305305 4610610 108246877 216493754 324740631 541234385 649481262 974221893 1082468770 1623703155 1948443786 3247406310 4871109465 9742218930