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45145319149 = 7234313747599
BaseRepresentation
bin101010000010110111…
…101110011011101101
311022112020212211110101
4222002313232123231
51214424200203044
632423420511101
73155512611160
oct520267563355
9138466784411
1045145319149
11181673a0517
1288bb0ab491
1343460615c8
142283a99ad7
151293595cd4
hexa82dee6ed

45145319149 has 32 divisors (see below), whose sum is σ = 55493222400. Its totient is φ = 35888130432.

The previous prime is 45145319137. The next prime is 45145319161. The reversal of 45145319149 is 94191354154.

It is an interprime number because it is at equal distance from previous prime (45145319137) and next prime (45145319161).

It is not a de Polignac number, because 45145319149 - 219 = 45144794861 is a prime.

It is a super-3 number, since 3×451453191493 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45145319099 and 45145319108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45145319129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924652 + ... + 972250.

It is an arithmetic number, because the mean of its divisors is an integer number (1734163200).

Almost surely, 245145319149 is an apocalyptic number.

It is an amenable number.

45145319149 is a deficient number, since it is larger than the sum of its proper divisors (10347903251).

45145319149 is a wasteful number, since it uses less digits than its factorization.

45145319149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47809.

The product of its digits is 388800, while the sum is 46.

The spelling of 45145319149 in words is "forty-five billion, one hundred forty-five million, three hundred nineteen thousand, one hundred forty-nine".

Divisors: 1 7 23 43 137 161 301 959 989 3151 5891 6923 22057 41237 47599 135493 333193 948451 1094777 2046757 6521063 7663439 14327299 45647441 47075411 149984449 280405709 329527877 1049891143 1962839963 6449331307 45145319149