Search a number
-
+
452456402265 = 325731831513697
BaseRepresentation
bin1101001010110001000…
…00001100110101011001
31121020212110112201001100
412211120200030311121
524403112314333030
6543504450542013
744455201651260
oct6453040146531
91536773481040
10452456402265
1116498193086a
1273832897909
133388828421a
1417c82c355d7
15bb81c56360
hex695880cd59

452456402265 has 192 divisors, whose sum is σ = 942810365952. Its totient is φ = 196390656000.

The previous prime is 452456402263. The next prime is 452456402351. The reversal of 452456402265 is 562204654254.

452456402265 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 564 + 0 + 22 + 65 = 666.

It is not a de Polignac number, because 452456402265 - 21 = 452456402263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 452456402265.

It is not an unprimeable number, because it can be changed into a prime (452456402263) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 122382897 + ... + 122386593.

It is an arithmetic number, because the mean of its divisors is an integer number (4910470656).

Almost surely, 2452456402265 is an apocalyptic number.

452456402265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

452456402265 is an abundant number, since it is smaller than the sum of its proper divisors (490353963687).

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

452456402265 is a wasteful number, since it uses less digits than its factorization.

452456402265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 452456402265 in words is "four hundred fifty-two billion, four hundred fifty-six million, four hundred two thousand, two hundred sixty-five".