Search a number
-
+
12353683461 = 372611917213
BaseRepresentation
bin10111000000101011…
…00100000000000101
31011212221122010211220
423200111210000011
5200300020332321
65401502150553
7615064401600
oct134025440005
934787563756
1012353683461
11526a372259
122489282459
13121b50a492
148529a7337
154c48359c6
hex2e0564005

12353683461 has 48 divisors (see below), whose sum is σ = 19579603968. Its totient is φ = 6906211200.

The previous prime is 12353683457. The next prime is 12353683483. The reversal of 12353683461 is 16438635321.

It is not a de Polignac number, because 12353683461 - 22 = 12353683457 is a prime.

It is a super-2 number, since 2×123536834612 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12353683261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1709091 + ... + 1716303.

It is an arithmetic number, because the mean of its divisors is an integer number (407908416).

Almost surely, 212353683461 is an apocalyptic number.

It is an amenable number.

12353683461 is a deficient number, since it is larger than the sum of its proper divisors (7225920507).

12353683461 is a wasteful number, since it uses less digits than its factorization.

12353683461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7475 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 12353683461 in words is "twelve billion, three hundred fifty-three million, six hundred eighty-three thousand, four hundred sixty-one".

Divisors: 1 3 7 21 49 61 147 183 191 427 573 1281 1337 2989 4011 7213 8967 9359 11651 21639 28077 34953 50491 81557 151473 244671 353437 439993 570899 1060311 1319979 1377683 1712697 3079951 4133049 9239853 9643781 21559657 28931343 64678971 67506467 84038663 202519401 252115989 588270641 1764811923 4117894487 12353683461