Search a number
-
+
12415640310 = 23555109317
BaseRepresentation
bin10111001000000011…
…11010001011110110
31012001021012212200000
423210001322023312
5200411400442220
65411554132130
7616446126033
oct134401721366
935037185600
1012415640310
1152a133a367
1224a5b81046
13122b2c1038
1485acd438a
154c9ec3390
hex2e407a2f6

12415640310 has 48 divisors (see below), whose sum is σ = 33476251536. Its totient is φ = 3310836768.

The previous prime is 12415640249. The next prime is 12415640317. The reversal of 12415640310 is 1304651421.

It is a happy number.

12415640310 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 5 + 640 + 3 + 10 = 666.

12415640310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124156403102 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12415640317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2552229 + ... + 2557088.

It is an arithmetic number, because the mean of its divisors is an integer number (697421907).

Almost surely, 212415640310 is an apocalyptic number.

12415640310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12415640310 is an abundant number, since it is smaller than the sum of its proper divisors (21060611226).

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

12415640310 is an equidigital number, since it uses as much as digits as its factorization.

12415640310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109339 (or 5109327 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12415640310 in words is "twelve billion, four hundred fifteen million, six hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 5109317 10218634 15327951 25546585 30655902 45983853 51093170 76639755 91967706 137951559 153279510 229919265 275903118 413854677 459838530 689757795 827709354 1241564031 1379515590 2069273385 2483128062 4138546770 6207820155 12415640310