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18475134426 = 2337537731193
BaseRepresentation
bin10001001101001101…
…000010110111011010
31202200120020001221000
4101031031002313122
5300314113300201
612253134125430
71222555023450
oct211515026732
952616201830
1018475134426
117920805a41
1236b7350876
1319857ba708
14c7398c9d0
15731e5dd86
hex44d342dda

18475134426 has 128 divisors (see below), whose sum is σ = 47908247040. Its totient is φ = 5167977984.

The previous prime is 18475134413. The next prime is 18475134541. The reversal of 18475134426 is 62443157481.

18475134426 is a `hidden beast` number, since 1 + 8 + 475 + 134 + 42 + 6 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15485686 + ... + 15486878.

It is an arithmetic number, because the mean of its divisors is an integer number (374283180).

Almost surely, 218475134426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18475134426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23954123520).

18475134426 is an abundant number, since it is smaller than the sum of its proper divisors (29433112614).

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

18475134426 is a wasteful number, since it uses less digits than its factorization.

18475134426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2031 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 18475134426 in words is "eighteen billion, four hundred seventy-five million, one hundred thirty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 773 954 1113 1193 1431 1546 2226 2319 2386 2862 3339 3579 4638 5411 6678 6957 7158 8351 10017 10737 10822 13914 16233 16702 20034 20871 21474 25053 32211 32466 40969 41742 48699 50106 63229 64422 75159 81938 97398 122907 126458 146097 150318 189687 225477 245814 286783 292194 368721 379374 442603 450954 569061 573566 737442 860349 885206 922189 1106163 1138122 1327809 1707183 1720698 1844378 2212326 2581047 2655618 2766567 3414366 3983427 5162094 5533134 6455323 7743141 7966854 8299701 11950281 12910646 15486282 16599402 19365969 23900562 24899103 38731938 48876017 49798206 58097907 97752034 116195814 146628051 174293721 293256102 342132119 348587442 439884153 684264238 879768306 1026396357 1319652459 2052792714 2639304918 3079189071 6158378142 9237567213 18475134426