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40546049586084 = 2232721516092
BaseRepresentation
bin10010011100000010111001…
…11000011111001110100100
312022120011102220120002001100
421032001130320133032210
520303301302143223314
6222122333102000100
711353232622664200
oct1116013470371644
9168504386502040
1040546049586084
1111a12534a5a129
12466a119b76030
131981625c05713
14a02621505b00
154a4a684b6c09
hex24e05ce1f3a4

40546049586084 has 81 divisors (see below), whose sum is σ = 119225479826817. Its totient is φ = 11584509185088.

The previous prime is 40546049586043. The next prime is 40546049586139. The reversal of 40546049586084 is 48068594064504.

The square root of 40546049586084 is 6367578.

It is a perfect power (a square), and thus also a powerful number.

40546049586084 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 6 + 0 + 49 + 586 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27632663595684 + 12913385990400 = 5256678^2 + 3593520^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 267362472 + ... + 267514080.

Almost surely, 240546049586084 is an apocalyptic number.

40546049586084 is the 6367578-th square number.

It is an amenable number.

40546049586084 is an abundant number, since it is smaller than the sum of its proper divisors (78679430240733).

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

40546049586084 is an frugal number, since it uses more digits than its factorization.

40546049586084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303242 (or 151621 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 40546049586084 in words is "forty trillion, five hundred forty-six billion, forty-nine million, five hundred eighty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 151609 303218 454827 606436 909654 1061263 1364481 1819308 2122526 2728962 3183789 4245052 5457924 6367578 7428841 9551367 12735156 14857682 19102734 22286523 29715364 38205468 44573046 66859569 89146092 133719138 267438276 22985288881 45970577762 68955866643 91941155524 137911733286 160897022167 206867599929 275823466572 321794044334 413735199858 482691066501 643588088668 827470399716 965382133002 1126279155169 1448073199503 1930764266004 2252558310338 2896146399006 3378837465507 4505116620676 5792292798012 6757674931014 10136512396521 13515349862028 20273024793042 40546049586084