Search a number
-
+
45362003281 = 7213739717021
BaseRepresentation
bin101010001111110010…
…010011110101010001
311100002100121112012121
4222033302103311101
51220400133101111
632501121054241
73164053444300
oct521762236521
9140070545177
1045362003281
1118268739511
12895b787381
13437bc0a97a
1422a4782437
1512a75e8871
hexa8fc93d51

45362003281 has 24 divisors (see below), whose sum is σ = 53290230696. Its totient is φ = 38498423040.

The previous prime is 45362003221. The next prime is 45362003341. The reversal of 45362003281 is 18230026354.

It is an interprime number because it is at equal distance from previous prime (45362003221) and next prime (45362003341).

It can be written as a sum of positive squares in 4 ways, for example, as 24779797056 + 20582206225 = 157416^2 + 143465^2 .

It is not a de Polignac number, because 45362003281 - 27 = 45362003153 is a prime.

It is a super-2 number, since 2×453620032812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45362003221) 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 23 ways as a sum of consecutive naturals, for example, 2656551 + ... + 2673571.

It is an arithmetic number, because the mean of its divisors is an integer number (2220426279).

Almost surely, 245362003281 is an apocalyptic number.

It is an amenable number.

45362003281 is a deficient number, since it is larger than the sum of its proper divisors (7928227415).

45362003281 is a wasteful number, since it uses less digits than its factorization.

45362003281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17569 (or 17562 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 45362003281 in words is "forty-five billion, three hundred sixty-two million, three thousand, two hundred eighty-one".

Divisors: 1 7 49 137 397 959 2779 6713 17021 19453 54389 119147 380723 834029 2331877 2665061 6757337 16323139 47301359 114261973 331109513 925755169 6480286183 45362003281