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434345456567676 = 22383436089815831
BaseRepresentation
bin110001011000010001110111…
…0101001100000010101111100
32002221220000112200010111110210
41202300203232221200111330
5423412303443340131201
64135435314221232420
7160326265214610603
oct14260435651402574
92087800480114423
10434345456567676
11116439967962715
124086b086702710
13158487a6c81644
14793860a1d2a3a
1535334c70e91d6
hex18b08eea6057c

434345456567676 has 24 divisors (see below), whose sum is σ = 1025683246836864. Its totient is φ = 143037459592240.

The previous prime is 434345456567653. The next prime is 434345456567681. The reversal of 434345456567676 is 676765654543434.

434345456567676 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 434345456567598 and 434345456567607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218044906920 + ... + 218044908911.

It is an arithmetic number, because the mean of its divisors is an integer number (42736801951536).

Almost surely, 2434345456567676 is an apocalyptic number.

It is an amenable number.

434345456567676 is an abundant number, since it is smaller than the sum of its proper divisors (591337790269188).

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

434345456567676 is a wasteful number, since it uses less digits than its factorization.

434345456567676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436089815921 (or 436089815919 counting only the distinct ones).

The product of its digits is 18289152000, while the sum is 75.

The spelling of 434345456567676 in words is "four hundred thirty-four trillion, three hundred forty-five billion, four hundred fifty-six million, five hundred sixty-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 996 436089815831 872179631662 1308269447493 1744359263324 2616538894986 5233077789972 36195454713973 72390909427946 108586364141919 144781818855892 217172728283838 434345456567676