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45812416269169 = 11273284292
BaseRepresentation
bin10100110101010100010001…
…10011000100101101110001
320000012121212001120201000101
422122222020303010231301
522001042312031103134
6241233533344552401
712435560245126324
oct1232521063045561
9200177761521011
1045812416269169
1113662a33725100
12517a905622701
131c74127a89714
14b454932027bb
15546a457c9e14
hex29aa88cc4b71

45812416269169 has 27 divisors (see below), whose sum is σ = 51061109004129. Its totient is φ = 41072262073920.

The previous prime is 45812416269101. The next prime is 45812416269199. The reversal of 45812416269169 is 96196261421854.

The square root of 45812416269169 is 6768487.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3964300013025 + 41848116256144 = 1991055^2 + 6469012^2 .

It is not a de Polignac number, because 45812416269169 - 215 = 45812416236401 is a prime.

It is a super-2 number, since 2×458124162691692 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45812416269169.

It is not an unprimeable number, because it can be changed into a prime (45812416269199) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5435090847 + ... + 5435099275.

Almost surely, 245812416269169 is an apocalyptic number.

45812416269169 is the 6768487-th square number.

45812416269169 is the 3384244-th centered octagonal number.

It is an amenable number.

45812416269169 is a deficient number, since it is larger than the sum of its proper divisors (5248692734960).

45812416269169 is an frugal number, since it uses more digits than its factorization.

45812416269169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17026 (or 8513 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 64.

The spelling of 45812416269169 in words is "forty-five trillion, eight hundred twelve billion, four hundred sixteen million, two hundred sixty-nine thousand, one hundred sixty-nine".

Divisors: 1 11 73 121 803 5329 8429 8833 58619 92719 615317 644809 1019909 6768487 44918141 71048041 74453357 494099551 781528451 5186506993 5435095061 8596812961 57051576923 378615010489 627567346153 4164765115379 45812416269169