Search a number
-
+
6213455550405 = 3252953194946093
BaseRepresentation
bin101101001101010111011…
…0011111001011111000101
3211000000000101211000112100
41122122232303321133011
51303300124110103110
621114231100142313
71210623135520125
oct132325663713705
924000011730470
106213455550405
111a86125745844
12844261837999
13360c07241acc
14176a38d40c85
15ab95d846bc0
hex5a6aecf97c5

6213455550405 has 96 divisors (see below), whose sum is σ = 11357653788000. Its totient is φ = 3137524475904.

The previous prime is 6213455550377. The next prime is 6213455550431. The reversal of 6213455550405 is 5040555543126.

6213455550405 is a `hidden beast` number, since 6 + 2 + 1 + 3 + 4 + 55 + 550 + 40 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 192841304769 + 6020614245636 = 439137^2 + 2453694^2 .

It is not a de Polignac number, because 6213455550405 - 27 = 6213455550277 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134779539 + ... + 134825631.

It is an arithmetic number, because the mean of its divisors is an integer number (118308893625).

Almost surely, 26213455550405 is an apocalyptic number.

It is an amenable number.

6213455550405 is a deficient number, since it is larger than the sum of its proper divisors (5144198237595).

6213455550405 is a wasteful number, since it uses less digits than its factorization.

6213455550405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48135 (or 48132 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 6213455550405 in words is "six trillion, two hundred thirteen billion, four hundred fifty-five million, five hundred fifty thousand, four hundred five".

Divisors: 1 3 5 9 15 29 45 53 87 145 159 261 265 435 477 795 1305 1537 1949 2385 4611 5847 7685 9745 13833 17541 23055 29235 46093 56521 69165 87705 103297 138279 169563 230465 282605 309891 414837 508689 516485 691395 847815 929673 1336697 1549455 2074185 2442929 2543445 2995613 4010091 4648365 6683485 7328787 8986839 12030273 12214645 14978065 20050455 21986361 26960517 36643935 44934195 60151365 70844941 89835257 109931805 134802585 212534823 269505771 354224705 449176285 637604469 808517313 1062674115 1347528855 2605222453 3188022345 4042586565 4761268621 7815667359 13026112265 14283805863 23447002077 23806343105 39078336795 42851417589 71419029315 117235010385 138076790009 214257087945 414230370027 690383950045 1242691110081 2071151850135 6213455550405