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1052644268655 = 34572411293739
BaseRepresentation
bin11110101000101100111…
…11001101101001101111
310201122001120220100210000
433110112133031221233
5114221303413044110
62123324511515343
7136023335436600
oct17242637155157
93648046810700
101052644268655
1137647327a141
12150014528b53
1378357b0ac75
1438d3c01dda7
151c5ad3331c0
hexf5167cda6f

1052644268655 has 120 divisors (see below), whose sum is σ = 2248577044560. Its totient is φ = 469471645440.

The previous prime is 1052644268639. The next prime is 1052644268659. The reversal of 1052644268655 is 5568624462501.

1052644268655 is a `hidden beast` number, since 1 + 0 + 526 + 4 + 4 + 2 + 68 + 6 + 55 = 666.

It is not a de Polignac number, because 1052644268655 - 24 = 1052644268639 is a prime.

It is a super-2 number, since 2×10526442686552 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052644268659) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 166776 + ... + 1460514.

It is an arithmetic number, because the mean of its divisors is an integer number (18738142038).

Almost surely, 21052644268655 is an apocalyptic number.

1052644268655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1052644268655 is an abundant number, since it is smaller than the sum of its proper divisors (1195932775905).

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

1052644268655 is a wasteful number, since it uses less digits than its factorization.

1052644268655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293811 (or 1293795 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 1052644268655 in words is "one trillion, fifty-two billion, six hundred forty-four million, two hundred sixty-eight thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 49 63 81 105 123 135 147 189 205 245 287 315 369 405 441 567 615 735 861 945 1107 1323 1435 1845 2009 2205 2583 2835 3321 3969 4305 5535 6027 6615 7749 10045 12915 16605 18081 19845 23247 30135 38745 54243 90405 116235 162729 271215 813645 1293739 3881217 6468695 9056173 11643651 19406085 27168519 34930953 45280865 53043299 58218255 63393211 81505557 104792859 135842595 159129897 174654765 190179633 244516671 265216495 316966055 371303093 407527785 477389691 523964295 570538899 733550013 795649485 950898165 1113909279 1222583355 1432169073 1711616697 1856515465 2386948455 2599121651 2852694495 3341727837 3667750065 4296507219 5134850091 5569546395 7160845365 7797364953 8558083485 10025183511 12995608255 16708639185 21482536095 23392094859 25674250455 30075550533 38986824765 50125917555 70176284577 116960474295 150377752665 210528853731 350881422885 1052644268655