Search a number
-
+
12066053535 = 3251737426287
BaseRepresentation
bin10110011110011000…
…10101110110011111
31011010220102000202200
423033030111312133
5144202402203120
65313145222543
7605002522434
oct131714256637
934126360680
1012066053535
115131a77678
122408a91a53
1311a3a50c63
148266d3b8b
154a946be90
hex2cf315d9f

12066053535 has 48 divisors (see below), whose sum is σ = 22743317376. Its totient is φ = 5892977664.

The previous prime is 12066053507. The next prime is 12066053539. The reversal of 12066053535 is 53535066021.

12066053535 is a `hidden beast` number, since 12 + 0 + 6 + 60 + 53 + 535 = 666.

It is not a de Polignac number, because 12066053535 - 27 = 12066053407 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12066053535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12066053539) 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, 184839 + ... + 241448.

It is an arithmetic number, because the mean of its divisors is an integer number (473819112).

Almost surely, 212066053535 is an apocalyptic number.

12066053535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12066053535 is a deficient number, since it is larger than the sum of its proper divisors (10677263841).

12066053535 is a wasteful number, since it uses less digits than its factorization.

12066053535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426352 (or 426349 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 12066053535 in words is "twelve billion, sixty-six million, fifty-three thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 17 37 45 51 85 111 153 185 255 333 555 629 765 1665 1887 3145 5661 9435 28305 426287 1278861 2131435 3836583 6394305 7246879 15772619 19182915 21740637 36234395 47317857 65221911 78863095 108703185 141953571 236589285 268134523 326109555 709767855 804403569 1340672615 2413210707 4022017845 12066053535