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13614605982 = 2336113730169
BaseRepresentation
bin11001010110111111…
…00110011010011110
31022010211021122101000
430223133212122132
5210340314342412
610130544131130
7661245145545
oct145337463236
938124248330
1013614605982
1158570a9a8a
12277b606aa6
13138c812793
1493223515c
1554a3a74dc
hex32b7e669e

13614605982 has 64 divisors (see below), whose sum is σ = 30976142400. Its totient is φ = 4431075840.

The previous prime is 13614605911. The next prime is 13614605999. The reversal of 13614605982 is 28950641631.

13614605982 is a `hidden beast` number, since 1 + 3 + 61 + 460 + 59 + 82 = 666.

It is a super-2 number, since 2×136146059822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436194 + ... + 466362.

It is an arithmetic number, because the mean of its divisors is an integer number (484002225).

Almost surely, 213614605982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13614605982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15488071200).

13614605982 is an abundant number, since it is smaller than the sum of its proper divisors (17361536418).

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

13614605982 is a wasteful number, since it uses less digits than its factorization.

13614605982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30378 (or 30372 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13614605982 in words is "thirteen billion, six hundred fourteen million, six hundred five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 61 122 137 183 274 366 411 549 822 1098 1233 1647 2466 3294 3699 7398 8357 16714 25071 30169 50142 60338 75213 90507 150426 181014 225639 271521 451278 543042 814563 1629126 1840309 3680618 4133153 5520927 8266306 11041854 12399459 16562781 24798918 33125562 37198377 49688343 74396754 99376686 111595131 223190262 252122333 504244666 756366999 1512733998 2269100997 4538201994 6807302991 13614605982