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419062664244 = 223797208324691
BaseRepresentation
bin1100001100100100001…
…01001100110000110100
31111001200012100001022110
412012102011030300310
523331220020223434
6520303103131020
742163522605420
oct6062205146064
91431605301273
10419062664244
111517a5a49174
12692732a3a70
1330695a79623
14163d5badb80
15ad7a2104e9
hex619214cc34

419062664244 has 96 divisors (see below), whose sum is σ = 1129608825856. Its totient is φ = 118436152320.

The previous prime is 419062664233. The next prime is 419062664249. The reversal of 419062664244 is 442466260914.

It is a happy number.

It is a super-2 number, since 2×4190626642442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 419062664193 and 419062664202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419062664249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16959939 + ... + 16984629.

Almost surely, 2419062664244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419062664244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564804412928).

419062664244 is an abundant number, since it is smaller than the sum of its proper divisors (710546161612).

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

419062664244 is a wasteful number, since it uses less digits than its factorization.

419062664244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26885 (or 26883 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 419062664244 in words is "four hundred nineteen billion, sixty-two million, six hundred sixty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1164 1358 2037 2083 2716 4074 4166 6249 8148 8332 12498 14581 24691 24996 29162 43743 49382 58324 74073 87486 98764 148146 172837 174972 202051 296292 345674 404102 518511 606153 691348 808204 1037022 1212306 1414357 2074044 2395027 2424612 2828714 4243071 4790054 5657428 7185081 8486142 9580108 14370162 16765189 16972284 28740324 33530378 50295567 51431353 67060756 100591134 102862706 154294059 201182268 205725412 308588118 360019471 617176236 720038942 1080058413 1440077884 2160116826 4320233652 4988841241 9977682482 14966523723 19955364964 29933047446 34921888687 59866094892 69843777374 104765666061 139687554748 209531332122 419062664244