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45354122145354 = 231117161325060489
BaseRepresentation
bin10100100111111110101000…
…10101101110111001001010
312221120210220202100000110210
422103333110111232321022
521421040220232122404
6240243221315221550
712360504266265501
oct1223772425567112
9187523822300423
1045354122145354
11134a6636631780
125105b238a78b6
131c3cb4c2472b9
14b2b218d61838
15539b712e3689
hex293fd456ee4a

45354122145354 has 64 divisors (see below), whose sum is σ = 104840259189120. Its totient is φ = 12927202129920.

The previous prime is 45354122145349. The next prime is 45354122145359.

It is a happy number.

45354122145354 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (45354122145349) and next prime (45354122145359).

It is not an unprimeable number, because it can be changed into a prime (45354122145359) 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, 10720459 + ... + 14340030.

It is an arithmetic number, because the mean of its divisors is an integer number (1638129049830).

Almost surely, 245354122145354 is an apocalyptic number.

45354122145354 is an abundant number, since it is smaller than the sum of its proper divisors (59486137043766).

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

45354122145354 is a wasteful number, since it uses less digits than its factorization.

45354122145354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25062135.

The product of its digits is 5760000, while the sum is 48.

The spelling of 45354122145354 in words is "forty-five trillion, three hundred fifty-four billion, one hundred twenty-two million, one hundred forty-five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1613 3226 4839 9678 17743 27421 35486 53229 54842 82263 106458 164526 301631 603262 904893 1809786 25060489 50120978 75181467 150362934 275665379 426028313 551330758 826996137 852056626 1278084939 1653992274 2556169878 4686311443 9372622886 14058934329 28117868658 40422568757 80845137514 121267706271 242535412542 444648256327 687183668869 889296512654 1333944768981 1374367337738 2061551006607 2667889537962 4123102013214 7559020357559 15118040715118 22677061072677 45354122145354