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445107772553665 = 513157241180981893
BaseRepresentation
bin110010100110100101011101…
…0101010110111100111000001
32011100222212221222101020022011
41211031022322222313213001
5431320121204233204130
64214355404323412521
7162516655354241164
oct14515127252674701
92140885858336264
10445107772553665
111199091677419a1
1241b08a50524141
1316149637a85490
147bcb48c909adb
15366d41bd2552a
hex194d2baab79c1

445107772553665 has 32 divisors (see below), whose sum is σ = 581281990714656. Its totient is φ = 325246177751040.

The previous prime is 445107772553627. The next prime is 445107772553681. The reversal of 445107772553665 is 566355277701544.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 243422528816016 + 201685243737649 = 15602004^2 + 14201593^2 .

It is not a de Polignac number, because 445107772553665 - 29 = 445107772553153 is a prime.

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 445107772553665.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88031542 + ... + 92950351.

It is an arithmetic number, because the mean of its divisors is an integer number (18165062209833).

Almost surely, 2445107772553665 is an apocalyptic number.

It is an amenable number.

445107772553665 is a deficient number, since it is larger than the sum of its proper divisors (136174218160991).

445107772553665 is a wasteful number, since it uses less digits than its factorization.

445107772553665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180982309.

The product of its (nonzero) digits is 740880000, while the sum is 67.

The spelling of 445107772553665 in words is "four hundred forty-five trillion, one hundred seven billion, seven hundred seventy-two million, five hundred fifty-three thousand, six hundred sixty-five".

Divisors: 1 5 13 65 157 241 785 1205 2041 3133 10205 15665 37837 189185 491881 2459405 180981893 904909465 2352764609 11763823045 28414157201 43616636213 142070786005 218083181065 369384043613 567016270769 1846920218065 2835081353845 6847811885441 34239059427205 89021554510733 445107772553665