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13026442644 = 223217211091129
BaseRepresentation
bin11000010000110111…
…11011110110010100
31020121211112211221200
430020123323312110
5203134232131034
65552333512500
7640543635615
oct141033736624
936554484850
1013026442644
1155850a6186
122636642730
1312c79cc737
148b808dc0c
15513926a99
hex3086fbd94

13026442644 has 108 divisors (see below), whose sum is σ = 35041379100. Its totient is φ = 4079425536.

The previous prime is 13026442577. The next prime is 13026442687. The reversal of 13026442644 is 44624462031.

13026442644 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 6 + 4 + 4 + 2 + 644 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 983575044 + 12042867600 = 31362^2 + 109740^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13026442599 and 13026442608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11537472 + ... + 11538600.

Almost surely, 213026442644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13026442644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520689550).

13026442644 is an abundant number, since it is smaller than the sum of its proper divisors (22014936456).

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

13026442644 is a wasteful number, since it uses less digits than its factorization.

13026442644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 13026442644 in words is "thirteen billion, twenty-six million, four hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1109 1129 1156 1734 2218 2258 2601 3327 3387 3468 4436 4516 5202 6654 6774 9981 10161 10404 13308 13548 18853 19193 19962 20322 37706 38386 39924 40644 56559 57579 75412 76772 113118 115158 169677 172737 226236 230316 320501 326281 339354 345474 641002 652562 678708 690948 961503 978843 1252061 1282004 1305124 1923006 1957686 2504122 2884509 2936529 3756183 3846012 3915372 5008244 5769018 5873058 7512366 11268549 11538036 11746116 15024732 21285037 22537098 42570074 45074196 63855111 85140148 127710222 191565333 255420444 361845629 383130666 723691258 766261332 1085536887 1447382516 2171073774 3256610661 4342147548 6513221322 13026442644