Search a number
-
+
12648350661310 = 2571337936673579
BaseRepresentation
bin1011100000001110110001…
…1100101011101010111110
31122210011121022020020120101
42320003230130223222332
53124212310232130220
642522323322511314
72443545630501460
oct270035434535276
948704538206511
1012648350661310
11403715422a921
12150340306553a
1370997149a950
1431a27d4d8130
1516e02c93a30a
hexb80ec72babe

12648350661310 has 64 divisors (see below), whose sum is σ = 28094896166400. Its totient is φ = 3992432395392.

The previous prime is 12648350661293. The next prime is 12648350661319. The reversal of 12648350661310 is 1316605384621.

It is a super-2 number, since 2×126483506613102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12648350661319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17991900 + ... + 18681679.

It is an arithmetic number, because the mean of its divisors is an integer number (438982752600).

Almost surely, 212648350661310 is an apocalyptic number.

12648350661310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12648350661310 is an abundant number, since it is smaller than the sum of its proper divisors (15446545505090).

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

12648350661310 is a wasteful number, since it uses less digits than its factorization.

12648350661310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36673985.

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 12648350661310 in words is "twelve trillion, six hundred forty-eight billion, three hundred fifty million, six hundred sixty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 379 455 758 910 1895 2653 3790 4927 5306 9854 13265 24635 26530 34489 49270 68978 172445 344890 36673579 73347158 183367895 256715053 366735790 476756527 513430106 953513054 1283575265 2383782635 2567150530 3337295689 4767565270 6674591378 13899286441 16686478445 27798572882 33372956890 69496432205 97295005087 138992864410 180690723733 194590010174 361381447466 486475025435 903453618665 972950050870 1264835066131 1806907237330 2529670132262 6324175330655 12648350661310