Search a number
-
+
13266302656152 = 23371367332327283
BaseRepresentation
bin1100000100001100110101…
…0000011101111010011000
31201222020122102221010101110
43001003031100131322120
53214323341434444102
644114242202420320
72536313230003050
oct301031520357230
951866572833343
1013266302656152
114255230aa7897
1215a3121b016a0
1375301241b2c0
1433c141a70560
1518014882c86c
hexc10cd41de98

13266302656152 has 256 divisors, whose sum is σ = 41442623631360. Its totient is φ = 3445420644864.

The previous prime is 13266302656151. The next prime is 13266302656183. The reversal of 13266302656152 is 25165620366231.

It is a happy number.

It is a super-2 number, since 2×132663026561522 (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 (13266302656151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486234303 + ... + 486261585.

It is an arithmetic number, because the mean of its divisors is an integer number (161885248560).

Almost surely, 213266302656152 is an apocalyptic number.

13266302656152 is a gapful number since it is divisible by the number (12) 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 13266302656152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20721311815680).

13266302656152 is an abundant number, since it is smaller than the sum of its proper divisors (28176320975208).

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

13266302656152 is a wasteful number, since it uses less digits than its factorization.

13266302656152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30702 (or 30698 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 13266302656152 in words is "thirteen trillion, two hundred sixty-six billion, three hundred two million, six hundred fifty-six thousand, one hundred fifty-two".