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14853550842 = 232131393131459
BaseRepresentation
bin11011101010101011…
…10011001011111010
31102100011120120012200
431311111303023322
5220410002111332
610453523051030
71034041045644
oct156525631372
942304516180
1014853550842
116332495659
122a66510a76
1315293c1450
14a0c9c1894
155be03717c
hex3755732fa

14853550842 has 96 divisors (see below), whose sum is σ = 35043153600. Its totient is φ = 4519846656.

The previous prime is 14853550819. The next prime is 14853550843. The reversal of 14853550842 is 24805535841.

14853550842 is a `hidden beast` number, since 1 + 4 + 8 + 53 + 550 + 8 + 42 = 666.

It is a super-3 number, since 3×148535508423 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14853550843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10179909 + ... + 10181367.

It is an arithmetic number, because the mean of its divisors is an integer number (365032850).

Almost surely, 214853550842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14853550842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521576800).

14853550842 is an abundant number, since it is smaller than the sum of its proper divisors (20189602758).

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

14853550842 is a wasteful number, since it uses less digits than its factorization.

14853550842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 14853550842 in words is "fourteen billion, eight hundred fifty-three million, five hundred fifty thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 139 234 278 313 417 626 834 939 1251 1459 1807 1878 2502 2817 2918 3614 4069 4377 5421 5634 8138 8754 10842 12207 13131 16263 18967 24414 26262 32526 36621 37934 43507 56901 73242 87014 113802 130521 170703 202801 261042 341406 391563 405602 456667 565591 608403 783126 913334 1131182 1216806 1370001 1696773 1825209 2636413 2740002 3393546 3650418 4110003 5090319 5272826 5936671 7909239 8220006 10180638 11873342 15818478 17810013 23727717 35620026 47455434 53430039 63476713 106860078 126953426 190430139 380860278 571290417 825197269 1142580834 1650394538 2475591807 4951183614 7426775421 14853550842