Search a number
-
+
41633166661002 = 23275356311073493
BaseRepresentation
bin10010111011101011110100…
…00111000001010110001010
312110102002110222010102220200
421131311322013001112022
520424104211131123002
6224314002425433030
711524616452443330
oct1135657207012612
9173362428112820
1041633166661002
11122a15882298a4
12480495333b776
131a2ccb59506a7
14a3d0ad9dbb50
154c2e92e3eb1c
hex25dd7a1c158a

41633166661002 has 96 divisors (see below), whose sum is σ = 105223351978368. Its totient is φ = 11650022287488.

The previous prime is 41633166660919. The next prime is 41633166661067. The reversal of 41633166661002 is 20016666133614.

41633166661002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1777033 + ... + 9296460.

It is an arithmetic number, because the mean of its divisors is an integer number (1096076583108).

Almost surely, 241633166661002 is an apocalyptic number.

41633166661002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

41633166661002 is an abundant number, since it is smaller than the sum of its proper divisors (63590185317366).

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

41633166661002 is a wasteful number, since it uses less digits than its factorization.

41633166661002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11074124 (or 11074121 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 41633166661002 in words is "forty-one trillion, six hundred thirty-three billion, one hundred sixty-six million, six hundred sixty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 563 742 954 1113 1126 1689 2226 3339 3378 3941 5067 6678 7882 10134 11823 23646 29839 35469 59678 70938 89517 179034 208873 268551 417746 537102 626619 1253238 1879857 3759714 11073493 22146986 33220479 66440958 77514451 99661437 155028902 199322874 232543353 465086706 586895129 697630059 1173790258 1395260118 1760685387 3521370774 4108265903 5282056161 6234376559 8216531806 10564112322 12324797709 12468753118 18703129677 24649595418 36974393127 37406259354 43640635913 56109389031 73948786254 87281271826 112218778062 130921907739 261843815478 330421957627 392765723217 660843915254 785531446434 991265872881 1982531745762 2312953703389 2973797618643 4625907406778 5947595237286 6938861110167 13877722220334 20816583330501 41633166661002