Search a number
-
+
465321555555255 = 32574136029543597
BaseRepresentation
bin110100111001101010001111…
…0000001100111001110110111
32021000120022021021021110011200
41221303110132001213032313
5441442312021210232010
64325353434353303543
7200004241633643160
oct15163243601471667
92230508237243150
10465321555555255
111252a1844226233
1244232527564bb3
1316c84832a3ab09
1482c997d596767
1538be13519ccc0
hex1a7351e0673b7

465321555555255 has 48 divisors (see below), whose sum is σ = 944262278616384. Its totient is φ = 207530171112960.

The previous prime is 465321555555191. The next prime is 465321555555281. The reversal of 465321555555255 is 552555555123564.

465321555555255 is a `hidden beast` number, since 4 + 6 + 5 + 3 + 2 + 1 + 5 + 55 + 55 + 525 + 5 = 666.

It is not a de Polignac number, because 465321555555255 - 26 = 465321555555191 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 465321555555192 and 465321555555201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18014758884 + ... + 18014784713.

It is an arithmetic number, because the mean of its divisors is an integer number (19672130804508).

Almost surely, 2465321555555255 is an apocalyptic number.

465321555555255 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

465321555555255 is an abundant number, since it is smaller than the sum of its proper divisors (478940723061129).

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

465321555555255 is a wasteful number, since it uses less digits than its factorization.

465321555555255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36029543656 (or 36029543653 counting only the distinct ones).

The product of its digits is 562500000, while the sum is 63.

The spelling of 465321555555255 in words is "four hundred sixty-five trillion, three hundred twenty-one billion, five hundred fifty-five million, five hundred fifty-five thousand, two hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 861 1435 1845 2583 4305 12915 36029543597 108088630791 180147717985 252206805179 324265892373 540443153955 756620415537 1261034025895 1477211287477 1621329461865 2269861246611 3783102077685 4431633862431 7386056437385 10340479012339 11349306233055 13294901587293 22158169312155 31021437037017 51702395061695 66474507936465 93064311111051 155107185185085 465321555555255