Search a number
-
+
14533152984 = 23327171696213
BaseRepresentation
bin11011000100011111…
…00101000011011000
31101111211200122222100
431202033211003120
5214230441343414
610402035523400
71023100522260
oct154217450330
941454618870
1014533152984
116188649a39
122997159560
1314a7c0110c
149bc21c7a0
155a0d49609
hex3623e50d8

14533152984 has 96 divisors (see below), whose sum is σ = 47629689120. Its totient is φ = 3908072448.

The previous prime is 14533152973. The next prime is 14533153009. The reversal of 14533152984 is 48925133541.

14533152984 is a `hidden beast` number, since 1 + 4 + 533 + 15 + 29 + 84 = 666.

It is a super-2 number, since 2×145331529842 (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 23 ways as a sum of consecutive naturals, for example, 839539 + ... + 856674.

It is an arithmetic number, because the mean of its divisors is an integer number (496142595).

Almost surely, 214533152984 is an apocalyptic number.

14533152984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14533152984 is an abundant number, since it is smaller than the sum of its proper divisors (33096536136).

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

14533152984 is a wasteful number, since it uses less digits than its factorization.

14533152984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696249 (or 1696242 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

It can be divided in two parts, 14533152 and 984, that added together give a triangular number (14534136 = T5391).

The spelling of 14533152984 in words is "fourteen billion, five hundred thirty-three million, one hundred fifty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 1696213 3392426 5088639 6784852 10177278 11873491 13569704 15265917 20354556 23746982 28835621 30531834 35620473 40709112 47493964 57671242 61063668 71240946 86506863 94987928 106861419 115342484 122127336 142481892 173013726 201849347 213722838 230684968 259520589 284963784 346027452 403698694 427445676 519041178 605548041 692054904 807397388 854891352 1038082356 1211096082 1614794776 1816644123 2076164712 2422192164 3633288246 4844384328 7266576492 14533152984