Search a number
-
+
12868438248 = 23357390679
BaseRepresentation
bin10111111110000010…
…01100100011101000
31020012211020101200000
423333001030203220
5202323310010443
65524531143000
7633614630451
oct137701144350
936184211600
1012868438248
115503997136
1225b1744a60
1312a105a403
148a10c0128
15504b158d3
hex2ff04c8e8

12868438248 has 96 divisors (see below), whose sum is σ = 36638347200. Its totient is φ = 4230672768.

The previous prime is 12868438211. The next prime is 12868438333. The reversal of 12868438248 is 84283486821.

12868438248 is a `hidden beast` number, since 128 + 68 + 438 + 24 + 8 = 666.

12868438248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 12868438194 and 12868438203.

It is an unprimeable number.

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, 96573 + ... + 187251.

It is an arithmetic number, because the mean of its divisors is an integer number (381649450).

Almost surely, 212868438248 is an apocalyptic number.

12868438248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12868438248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319173600).

12868438248 is an abundant number, since it is smaller than the sum of its proper divisors (23769908952).

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

12868438248 is an equidigital number, since it uses as much as digits as its factorization.

12868438248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90773 (or 90757 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 12868438248 in words is "twelve billion, eight hundred sixty-eight million, four hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 243 292 324 438 486 584 648 657 876 972 1314 1752 1944 1971 2628 3942 5256 5913 7884 11826 15768 17739 23652 35478 47304 70956 90679 141912 181358 272037 362716 544074 725432 816111 1088148 1632222 2176296 2448333 3264444 4896666 6528888 6619567 7344999 9793332 13239134 14689998 19586664 19858701 22034997 26478268 29379996 39717402 44069994 52956536 58759992 59576103 79434804 88139988 119152206 158869608 176279976 178728309 238304412 357456618 476608824 536184927 714913236 1072369854 1429826472 1608554781 2144739708 3217109562 4289479416 6434219124 12868438248