Search a number
-
+
45917289405 = 3251378491093
BaseRepresentation
bin101010110000111000…
…100011101110111101
311101112001110222120100
4222300320203232331
51223014311230110
633032154511313
73213605343261
oct526070435675
9141461428510
1045917289405
1118523127169
128a95735539
134439c7c240
14231840a0a1
1512db232bc0
hexab0e23bbd

45917289405 has 24 divisors (see below), whose sum is σ = 85712274648. Its totient is φ = 22605434496.

The previous prime is 45917289361. The next prime is 45917289409. The reversal of 45917289405 is 50498271954.

It is a happy number.

45917289405 is a `hidden beast` number, since 4 + 5 + 91 + 72 + 89 + 405 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 301300164 + 45615989241 = 17358^2 + 213579^2 .

It is not a de Polignac number, because 45917289405 - 217 = 45917158333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45917289409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39244962 + ... + 39246131.

It is an arithmetic number, because the mean of its divisors is an integer number (3571344777).

Almost surely, 245917289405 is an apocalyptic number.

45917289405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45917289405 is a deficient number, since it is larger than the sum of its proper divisors (39794985243).

45917289405 is a wasteful number, since it uses less digits than its factorization.

45917289405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78491117 (or 78491114 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 45917289405 in words is "forty-five billion, nine hundred seventeen million, two hundred eighty-nine thousand, four hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 78491093 235473279 392455465 706419837 1020384209 1177366395 3061152627 3532099185 5101921045 9183457881 15305763135 45917289405