Search a number
-
+
133265006464 = 277913178897
BaseRepresentation
bin111110000011100110…
…1101001111110000000
3110201222110121202111011
41330013031221332000
54140411320201324
6141115431330304
712425300602432
oct1740715517600
9421873552434
10133265006464
1151576692887
12219b2220994
13c74a454015
146642d76652
1536ee802c94
hex1f07369f80

133265006464 has 32 divisors (see below), whose sum is σ = 268849519200. Its totient is φ = 65789048832.

The previous prime is 133265006461. The next prime is 133265006467. The reversal of 133265006464 is 464600562331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133265006461) and next prime (133265006467).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1332650064643 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133265006461) 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 3 ways as a sum of consecutive naturals, for example, 6579337 + ... + 6599560.

It is an arithmetic number, because the mean of its divisors is an integer number (8401547475).

Almost surely, 2133265006464 is an apocalyptic number.

It is an amenable number.

133265006464 is an abundant number, since it is smaller than the sum of its proper divisors (135584512736).

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

133265006464 is an equidigital number, since it uses as much as digits as its factorization.

133265006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13178990 (or 13178978 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

Adding to 133265006464 its reverse (464600562331), we get a palindrome (597865568795).

The spelling of 133265006464 in words is "one hundred thirty-three billion, two hundred sixty-five million, six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10112 13178897 26357794 52715588 105431176 210862352 421724704 843449408 1041132863 1686898816 2082265726 4164531452 8329062904 16658125808 33316251616 66632503232 133265006464