Search a number
-
+
45288501345 = 3254721413003
BaseRepresentation
bin101010001011011001…
…111011000001100001
311022220020022020111200
4222023121323001201
51220222324020340
632445533431413
73162201624033
oct521331730141
9138806266450
1045288501345
11182301a640a
12893b03b569
1343699141b9
142298acbc53
1512a0e2a330
hexa8b67b061

45288501345 has 24 divisors (see below), whose sum is σ = 80170286976. Its totient is φ = 23639954208.

The previous prime is 45288501299. The next prime is 45288501397. The reversal of 45288501345 is 54310588254.

45288501345 is a `hidden beast` number, since 4 + 528 + 85 + 0 + 1 + 3 + 45 = 666.

It is not a de Polignac number, because 45288501345 - 217 = 45288370273 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 45288501345.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10704387 + ... + 10708616.

It is an arithmetic number, because the mean of its divisors is an integer number (3340428624).

Almost surely, 245288501345 is an apocalyptic number.

45288501345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45288501345 is a deficient number, since it is larger than the sum of its proper divisors (34881785631).

45288501345 is a wasteful number, since it uses less digits than its factorization.

45288501345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21413061 (or 21413058 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 45288501345 in words is "forty-five billion, two hundred eighty-eight million, five hundred one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 47 141 235 423 705 2115 21413003 64239009 107065015 192717027 321195045 963585135 1006411141 3019233423 5032055705 9057700269 15096167115 45288501345