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45296178481 = 2941531136361
BaseRepresentation
bin101010001011110111…
…001101010100110001
311022220202202021120001
4222023313031110301
51220231310202411
632450410150001
73162324110251
oct521367152461
9138822667501
1045296178481
111823456a354
128941722301
13436b3a1698
142299b29961
1512a1944dc1
hexa8bdcd531

45296178481 has 32 divisors (see below), whose sum is σ = 49347234720. Its totient is φ = 41485516800.

The previous prime is 45296178463. The next prime is 45296178491. The reversal of 45296178481 is 18487169254.

It can be written as a sum of positive squares in 16 ways, for example, as 32358253456 + 12937925025 = 179884^2 + 113745^2 .

It is not a de Polignac number, because 45296178481 - 229 = 44759307569 is a prime.

It is a super-2 number, since 2×452961784812 (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 (45296178461) 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 31 ways as a sum of consecutive naturals, for example, 7117741 + ... + 7124101.

It is an arithmetic number, because the mean of its divisors is an integer number (1542101085).

Almost surely, 245296178481 is an apocalyptic number.

45296178481 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45296178481 is a deficient number, since it is larger than the sum of its proper divisors (4051056239).

45296178481 is a wasteful number, since it uses less digits than its factorization.

45296178481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6597.

The product of its digits is 3870720, while the sum is 55.

The spelling of 45296178481 in words is "forty-five billion, two hundred ninety-six million, one hundred seventy-eight thousand, four hundred eighty-one".

Divisors: 1 29 41 53 113 1189 1537 2173 3277 4633 5989 6361 63017 134357 173681 184469 245549 260801 337133 718793 7120921 7563229 9776857 13822453 20844997 29470513 38096029 400851137 854644877 1104784841 1561937189 45296178481