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45524324240 = 245737795261
BaseRepresentation
bin101010011001011101…
…100000111110010000
311100111200001021200222
4222121131200332100
51221213211333430
632525200132212
73201064241243
oct523135407620
9140450037628
1045524324240
111834132666a
1289a6007068
1343a6731985
1422bc15725a
1512b69ad9e5
hexa99760f90

45524324240 has 40 divisors (see below), whose sum is σ = 107293986168. Its totient is φ = 17960279040.

The previous prime is 45524324233. The next prime is 45524324249. The reversal of 45524324240 is 4242342554.

It can be written as a sum of positive squares in 4 ways, for example, as 7652050576 + 37872273664 = 87476^2 + 194608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 45524324240.

It is not an unprimeable number, because it can be changed into a prime (45524324249) 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 7 ways as a sum of consecutive naturals, for example, 3891791 + ... + 3903470.

Almost surely, 245524324240 is an apocalyptic number.

45524324240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45524324240 is an abundant number, since it is smaller than the sum of its proper divisors (61769661928).

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

45524324240 is a wasteful number, since it uses less digits than its factorization.

45524324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795347 (or 7795341 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 45524324240 its reverse (4242342554), we get a palindrome (49766666794).

The spelling of 45524324240 in words is "forty-five billion, five hundred twenty-four million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 7795261 15590522 31181044 38976305 62362088 77952610 124724176 155905220 311810440 569054053 623620880 1138108106 2276216212 2845270265 4552432424 5690540530 9104864848 11381081060 22762162120 45524324240