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45017871054 = 231317163208283
BaseRepresentation
bin101001111011010001…
…100011001011001110
311022012101001210112120
4221323101203023032
51214144033333204
632403025113410
73152404406322
oct517321431316
9138171053476
1045017871054
1118101461912
128884488866
13432582a530
142270ba1982
1512872bd6d9
hexa7b4632ce

45017871054 has 64 divisors (see below), whose sum is σ = 103295533824. Its totient is φ = 12956806656.

The previous prime is 45017871001. The next prime is 45017871061.

45017871054 is nontrivially palindromic in base 10.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 45017870997 and 45017871015.

It is a congruent number.

It is an unprimeable number.

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, 111997 + ... + 320279.

It is an arithmetic number, because the mean of its divisors is an integer number (1613992716).

Almost surely, 245017871054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45017871054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51647766912).

45017871054 is an abundant number, since it is smaller than the sum of its proper divisors (58277662770).

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

45017871054 is a wasteful number, since it uses less digits than its factorization.

45017871054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208481.

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 45017871054 in words is "forty-five billion, seventeen million, eight hundred seventy-one thousand, fifty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 163 221 326 442 489 663 978 1326 2119 2771 4238 5542 6357 8313 12714 16626 36023 72046 108069 208283 216138 416566 624849 1249698 2707679 3540811 5415358 7081622 8123037 10622433 16246074 21244866 33950129 46030543 67900258 92061086 101850387 138091629 203700774 276183258 441351677 577152193 882703354 1154304386 1324055031 1731456579 2648110062 3462913158 7502978509 15005957018 22508935527 45017871054