Search a number
-
+
12766387384410 = 23511432107195539
BaseRepresentation
bin1011100111000110011111…
…1111000011000001011010
31200012110021111011001110120
42321301213333003001122
53133131030132300120
643052444123254110
72455224660211512
oct271614777030132
950173244131416
1012766387384410
11408221594aa50
12152226537a336
13717b329c7aba
14321c79bc4842
1517213a384140
hexb9c67fc305a

12766387384410 has 192 divisors, whose sum is σ = 34540110512640. Its totient is φ = 2994641005440.

The previous prime is 12766387384397. The next prime is 12766387384433. The reversal of 12766387384410 is 1448378366721.

It is a super-2 number, since 2×127663873844102 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65190421 + ... + 65385959.

It is an arithmetic number, because the mean of its divisors is an integer number (179896408920).

Almost surely, 212766387384410 is an apocalyptic number.

12766387384410 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 12766387384410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17270055256320).

12766387384410 is an abundant number, since it is smaller than the sum of its proper divisors (21773723128230).

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

12766387384410 is a wasteful number, since it uses less digits than its factorization.

12766387384410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195753 (or 195710 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 12766387384410 in words is "twelve trillion, seven hundred sixty-six billion, three hundred eighty-seven million, three hundred eighty-four thousand, four hundred ten".