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12486642264 = 2333467123787
BaseRepresentation
bin10111010000100001…
…10000101001011000
31012020012211011001000
423220100300221120
5201033040023024
65423012025000
7621300464565
oct135020605130
935205734030
1012486642264
115328425168
122505902160
13123cc20925
148664d786c
154d134acc9
hex2e8430a58

12486642264 has 64 divisors (see below), whose sum is σ = 34759670400. Its totient is φ = 4153267872.

The previous prime is 12486642227. The next prime is 12486642331. The reversal of 12486642264 is 46224668421.

It is a super-2 number, since 2×124866422642 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38979 + ... + 162765.

It is an arithmetic number, because the mean of its divisors is an integer number (543119850).

Almost surely, 212486642264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12486642264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379835200).

12486642264 is an abundant number, since it is smaller than the sum of its proper divisors (22273028136).

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

12486642264 is a wasteful number, since it uses less digits than its factorization.

12486642264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124269 (or 124259 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 12486642264 in words is "twelve billion, four hundred eighty-six million, six hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 467 934 1401 1868 2802 3736 4203 5604 8406 11208 12609 16812 25218 33624 50436 100872 123787 247574 371361 495148 742722 990296 1114083 1485444 2228166 2970888 3342249 4456332 6684498 8912664 13368996 26737992 57808529 115617058 173425587 231234116 346851174 462468232 520276761 693702348 1040553522 1387404696 1560830283 2081107044 3121660566 4162214088 6243321132 12486642264