Search a number
-
+
209464138727406 = 2351922684008959
BaseRepresentation
bin101111101000000110101011…
…100101001111111111101110
31000110122120112222100012100000
4233220012223211033333232
5204423330024003234111
62021254255155445130
762056166424215343
oct5750065345177756
91013576488305300
10209464138727406
1160818273658002
121b5ab6782b67a6
138cb54ca7bb7c4
1439a2192ca87ca
151933999de1c56
hexbe81ab94ffee

209464138727406 has 48 divisors (see below), whose sum is σ = 495418755686400. Its totient is φ = 66146570121528.

The previous prime is 209464138727399. The next prime is 209464138727413. The reversal of 209464138727406 is 604727831464902.

209464138727406 is a `hidden beast` number, since 2 + 0 + 9 + 464 + 1 + 38 + 72 + 74 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (209464138727399) and next prime (209464138727413).

It is a super-2 number, since 2×2094641387274062 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11341995246 + ... + 11342013713.

It is an arithmetic number, because the mean of its divisors is an integer number (10321224076800).

Almost surely, 2209464138727406 is an apocalyptic number.

209464138727406 is an abundant number, since it is smaller than the sum of its proper divisors (285954616958994).

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

209464138727406 is a wasteful number, since it uses less digits than its factorization.

209464138727406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22684008995 (or 22684008983 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 209464138727406 in words is "two hundred nine trillion, four hundred sixty-four billion, one hundred thirty-eight million, seven hundred twenty-seven thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 9234 22684008959 45368017918 68052026877 136104053754 204156080631 408312161262 430996170221 612468241893 861992340442 1224936483786 1292988510663 1837404725679 2585977021326 3674809451358 3878965531989 5512214177037 7757931063978 11024428354074 11636896595967 23273793191934 34910689787901 69821379575802 104732069363703 209464138727406