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3406455056601 = 3229531471167407
BaseRepresentation
bin110001100100100000100…
…010110010100011011001
3110001122122201011111102100
4301210200202302203121
5421302404443302401
611124523121554013
7501052063143102
oct61444042624331
913048581144370
103406455056601
1110a37400896a3
1247023aaa5909
131b92c55b445c
14bac324c13a9
155d922bb1b86
hex319208b28d9

3406455056601 has 48 divisors (see below), whose sum is σ = 5189701570560. Its totient is φ = 2149814459520.

The previous prime is 3406455056581. The next prime is 3406455056603. The reversal of 3406455056601 is 1066505546043.

3406455056601 is a `hidden beast` number, since 3 + 40 + 6 + 4 + 550 + 56 + 6 + 0 + 1 = 666.

It is not a de Polignac number, because 3406455056601 - 221 = 3406452959449 is a prime.

It is a super-2 number, since 2×34064550566012 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3406455056603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20264640 + ... + 20432046.

It is an arithmetic number, because the mean of its divisors is an integer number (108118782720).

Almost surely, 23406455056601 is an apocalyptic number.

It is an amenable number.

3406455056601 is a deficient number, since it is larger than the sum of its proper divisors (1783246513959).

3406455056601 is a wasteful number, since it uses less digits than its factorization.

3406455056601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168966 (or 168963 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 3406455056601 in words is "three trillion, four hundred six billion, four hundred fifty-five million, fifty-six thousand, six hundred one".

Divisors: 1 3 9 29 53 87 159 261 477 1471 1537 4413 4611 13239 13833 42659 77963 127977 167407 233889 383931 502221 701667 1506663 2260927 4854803 6782781 8872571 14564409 20348343 26617713 43693227 79853139 246255697 257304559 738767091 771913677 2216301273 2315741031 7141415213 13051551941 21424245639 39154655823 64272736917 117463967469 378495006289 1135485018867 3406455056601