Search a number
-
+
47345123546055 = 32517461934314369
BaseRepresentation
bin10101100001111011001010…
…10001010101001111000111
320012122011001001201122211100
422300331211101111033013
522201200303111433210
6244410014405111143
712654400204045266
oct1260754521251707
9205564031648740
1047345123546055
11140a3a54a58735
1253879760b84b3
13205581a3cbaaa
14b997326825dd
1557184e2be5c0
hex2b0f654553c7

47345123546055 has 96 divisors (see below), whose sum is σ = 87096094525440. Its totient is φ = 23709655203840.

The previous prime is 47345123546027. The next prime is 47345123546057. The reversal of 47345123546055 is 55064532154374.

47345123546055 is a `hidden beast` number, since 4 + 7 + 3 + 4 + 5 + 1 + 23 + 5 + 4 + 605 + 5 = 666.

It is not a de Polignac number, because 47345123546055 - 26 = 47345123545991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47345123545992 and 47345123546010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47345123546057) 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, 3294941911 + ... + 3294956279.

It is an arithmetic number, because the mean of its divisors is an integer number (907250984640).

Almost surely, 247345123546055 is an apocalyptic number.

47345123546055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47345123546055 is a deficient number, since it is larger than the sum of its proper divisors (39750970979385).

47345123546055 is a wasteful number, since it uses less digits than its factorization.

47345123546055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24201 (or 24198 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 54.

The spelling of 47345123546055 in words is "forty-seven trillion, three hundred forty-five billion, one hundred twenty-three million, five hundred forty-six thousand, fifty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 461 765 1383 2305 4149 6915 7837 9343 14369 20745 23511 28029 39185 43107 46715 70533 71845 84087 117555 129321 140145 158831 215535 244273 352665 420435 476493 646605 732819 794155 1221365 1429479 2198457 2382465 3664095 4307123 6624109 7147395 10992285 12921369 19872327 21535615 33120545 38764107 59616981 64606845 73221091 99361635 112609853 134249567 193820535 219663273 298084905 337829559 366105455 402748701 563049265 658989819 671247835 1013488677 1098316365 1208246103 1689147795 2013743505 2282242639 3294949095 5067443385 6041230515 6846727917 11411213195 20540183751 34233639585 61889050387 102700918755 185667151161 309445251935 557001453483 928335755805 1052113856579 2785007267415 3156341569737 5260569282895 9469024709211 15781707848685 47345123546055