Search a number
-
+
264404061431132 = 22731412973774031
BaseRepresentation
bin111100000111100101011110…
…001010001010010101011100
31021200011210002122120201120212
4330013211132022022111130
5234123444004211244012
62334201314324431552
7106456364061051440
oct7407453612122534
91250153078521525
10264404061431132
117727a150750777
12257a33412485b8
13b46c271823ccc
144941321004820
152087b52d52b22
hexf0795e28a55c

264404061431132 has 48 divisors (see below), whose sum is σ = 545998659870720. Its totient is φ = 109634110502400.

The previous prime is 264404061431131. The next prime is 264404061431177. The reversal of 264404061431132 is 231134160404462.

264404061431132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 264404061431132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264404061431131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33303044 + ... + 40470987.

It is an arithmetic number, because the mean of its divisors is an integer number (11374972080640).

Almost surely, 2264404061431132 is an apocalyptic number.

It is an amenable number.

264404061431132 is an abundant number, since it is smaller than the sum of its proper divisors (281594598439588).

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

264404061431132 is a wasteful number, since it uses less digits than its factorization.

264404061431132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73778202 (or 73778200 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 264404061431132 in words is "two hundred sixty-four trillion, four hundred four billion, sixty-one million, four hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 4129 8258 16516 28903 57806 115612 127999 255998 511996 895993 1791986 3583972 73774031 147548062 295096124 516418217 1032836434 2065672868 2286994961 4573989922 9147979844 16008964727 32017929454 64035858908 304612973999 609225947998 1218451895996 2132290817993 4264581635986 8529163271972 9443002193969 18886004387938 37772008775876 66101015357783 132202030715566 264404061431132