Search a number
-
+
12636010530 = 2345111343259
BaseRepresentation
bin10111100010010101…
…00011100000100010
31012121121212211210000
423301022203200202
5201334304314110
65445505320430
7625063213563
oct136112434042
935547784700
1012636010530
1153a4775810
122547936116
131264b5b110
1487c29a16a
154de5031c0
hex2f12a3822

12636010530 has 480 divisors, whose sum is σ = 41559376320. Its totient is φ = 2715068160.

The previous prime is 12636010523. The next prime is 12636010537. The reversal of 12636010530 is 3501063621.

12636010530 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 601 + 0 + 53 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12636010523) and next prime (12636010537).

It is a super-2 number, since 2×126360105302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12636010494 and 12636010503.

It is not an unprimeable number, because it can be changed into a prime (12636010537) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 214169641 + ... + 214169699.

It is an arithmetic number, because the mean of its divisors is an integer number (86582034).

Almost surely, 212636010530 is an apocalyptic number.

12636010530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12636010530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779688160).

12636010530 is an abundant number, since it is smaller than the sum of its proper divisors (28923365790).

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

12636010530 is a wasteful number, since it uses less digits than its factorization.

12636010530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 12636010530 in words is "twelve billion, six hundred thirty-six million, ten thousand, five hundred thirty".