Search a number
-
+
12975729624 = 233211131260269
BaseRepresentation
bin11000001010110100…
…11110101111011000
31020111022010100202200
430011122132233120
5203033241321444
65543322530200
7636356611344
oct140532365730
936438110680
1012975729624
1155595087a0
122621666960
1312ba354930
148b144c624
1550e25a969
hex30569ebd8

12975729624 has 96 divisors (see below), whose sum is σ = 41286445200. Its totient is φ = 3629571840.

The previous prime is 12975729623. The next prime is 12975729629. The reversal of 12975729624 is 42692757921.

12975729624 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 5 + 7 + 2 + 9 + 624 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12975729623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619839 + ... + 640430.

Almost surely, 212975729624 is an apocalyptic number.

It is an amenable number.

12975729624 is an abundant number, since it is smaller than the sum of its proper divisors (28310715576).

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

12975729624 is a wasteful number, since it uses less digits than its factorization.

12975729624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260305 (or 1260298 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 12975729624 in words is "twelve billion, nine hundred seventy-five million, seven hundred twenty-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 1260269 2520538 3780807 5041076 7561614 10082152 11342421 13862959 15123228 16383497 22684842 27725918 30246456 32766994 41588877 45369684 49150491 55451836 65533988 83177754 90739368 98300982 110903672 124766631 131067976 147451473 166355508 180218467 196601964 249533262 294902946 332711016 360436934 393203928 499066524 540655401 589805892 720873868 998133048 1081310802 1179611784 1441747736 1621966203 2162621604 3243932406 4325243208 6487864812 12975729624