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45756699665754 = 237112310142634729
BaseRepresentation
bin10100110011101100011111…
…10101000110010101011010
320000000022001001221222202010
422121312033311012111122
521444134210103301004
6241152200532450350
712431545446613320
oct1231661765062532
9200008031858663
1045756699665754
11136413420a5320
12516bb561799b6
131c6bab888762c
14b428c9593d10
1554538412ba89
hex299d8fd4655a

45756699665754 has 128 divisors (see below), whose sum is σ = 120234031534080. Its totient is φ = 11255568192000.

The previous prime is 45756699665749. The next prime is 45756699665821.

It is a happy number.

45756699665754 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20244139 + ... + 22390590.

It is an arithmetic number, because the mean of its divisors is an integer number (939328371360).

Almost surely, 245756699665754 is an apocalyptic number.

45756699665754 is an abundant number, since it is smaller than the sum of its proper divisors (74477331868326).

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

45756699665754 is a wasteful number, since it uses less digits than its factorization.

45756699665754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42634876.

The product of its digits is 51438240000, while the sum is 84.

The spelling of 45756699665754 in words is "forty-five trillion, seven hundred fifty-six billion, six hundred ninety-nine million, six hundred sixty-five thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 101 138 154 161 202 231 253 303 322 462 483 506 606 707 759 966 1111 1414 1518 1771 2121 2222 2323 3333 3542 4242 4646 5313 6666 6969 7777 10626 13938 15554 16261 23331 25553 32522 46662 48783 51106 76659 97566 153318 178871 357742 536613 1073226 42634729 85269458 127904187 255808374 298443103 468982019 596886206 895329309 937964038 980598767 1406946057 1790658618 1961197534 2813892114 2941796301 3282874133 4306107629 5883592602 6565748266 6864191369 8612215258 9848622399 10786586437 12918322887 13728382738 19697244798 20592574107 21573172874 25836645774 30142753403 32359759311 41185148214 47367183919 60285506806 64719518622 75506105059 90428260209 94734367838 99040475467 142101551757 151012210118 180856520418 198080950934 226518315177 284203103514 297121426401 331570287433 453036630354 594242852802 663140574866 693283328269 994710862299 1089445230137 1386566656538 1989421724598 2079849984807 2178890460274 3268335690411 4159699969614 6536671380822 7626116610959 15252233221918 22878349832877 45756699665754