Search a number
-
+
263416430655 = 32572951015653
BaseRepresentation
bin1111010101010011010…
…1111100000000111111
3221011220221111011001100
43311110311330000333
513303434101240110
6321002320144143
725013463500640
oct3652465740077
9834827434040
10263416430655
11a1794787174
1243075768053
131babc805a61
14ca6c5bb6c7
156cbaac7bc0
hex3d54d7c03f

263416430655 has 96 divisors (see below), whose sum is σ = 540010373760. Its totient is φ = 116223206400.

The previous prime is 263416430633. The next prime is 263416430657. The reversal of 263416430655 is 556034614362.

263416430655 is a `hidden beast` number, since 2 + 634 + 1 + 6 + 4 + 3 + 0 + 6 + 5 + 5 = 666.

It is not a de Polignac number, because 263416430655 - 215 = 263416397887 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 263416430655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263416430657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46594809 + ... + 46600461.

It is an arithmetic number, because the mean of its divisors is an integer number (5625108060).

Almost surely, 2263416430655 is an apocalyptic number.

263416430655 is an abundant number, since it is smaller than the sum of its proper divisors (276593943105).

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

263416430655 is a wasteful number, since it uses less digits than its factorization.

263416430655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10801 (or 10798 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 263416430655 in words is "two hundred sixty-three billion, four hundred sixteen million, four hundred thirty thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 5101 5653 9135 15303 16959 25505 28265 35707 39571 45909 50877 76515 84795 107121 118713 147929 163937 178535 197855 229545 254385 321363 356139 443787 491811 535605 593565 739645 819685 1035503 1147559 1331361 1475433 1606815 1780695 2218935 2459055 3106509 3442677 5177515 5737795 6656805 7377165 9319527 10328031 15532545 17213385 28835953 46597635 51640155 86507859 144179765 201851671 259523577 432539295 605555013 836242637 1009258355 1297617885 1816665039 2508727911 3027775065 4181213185 5853698459 7526183733 9083325195 12543639555 17561095377 29268492295 37630918665 52683286131 87805476885 263416430655