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3481263306543 = 311536735278423
BaseRepresentation
bin110010101010001011011…
…101100111011100101111
3110022210202020002100020010
4302222023131213130233
5424014111401302133
611223134214224303
7506340643603131
oct62521335473457
913283666070203
103481263306543
111122439420050
12482838055093
131c3387c314c9
14c06cb923051
156085049e263
hex32a8b76772f

3481263306543 has 64 divisors (see below), whose sum is σ = 5238305759232. Its totient is φ = 2038331518080.

The previous prime is 3481263306541. The next prime is 3481263306607. The reversal of 3481263306543 is 3456033621843.

It is not a de Polignac number, because 3481263306543 - 21 = 3481263306541 is a prime.

It is a super-2 number, since 2×34812633065432 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3481263306492 and 3481263306501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481263306541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413300230 + ... + 413308652.

It is an arithmetic number, because the mean of its divisors is an integer number (81848527488).

Almost surely, 23481263306543 is an apocalyptic number.

3481263306543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3481263306543 is a deficient number, since it is larger than the sum of its proper divisors (1757042452689).

3481263306543 is a wasteful number, since it uses less digits than its factorization.

3481263306543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084.

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 3481263306543 in words is "three trillion, four hundred eighty-one billion, two hundred sixty-three million, three hundred six thousand, five hundred forty-three".

Divisors: 1 3 11 33 53 67 159 201 583 737 1749 2211 3527 3551 8423 10581 10653 25269 38797 39061 92653 116391 117183 186931 236309 277959 446419 560793 564341 708927 1339257 1693023 2056241 2599399 4910609 6168723 6207751 7798197 12524377 14731827 18623253 29707921 29910073 37573131 89123763 89730219 137768147 326787131 329010803 413304441 980361393 987032409 1574519813 1990430707 4723559439 5971292121 17319717943 21894737777 51959153829 65684213331 105492827471 316478482413 1160421102181 3481263306543