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34445406363764 = 2211431011391296803
BaseRepresentation
bin1111101010011111100100…
…01101011110000001110100
311111221221121121001002202112
413311033302031132001310
514003323143012120024
6201132000133230152
710153412165126534
oct765176215360164
9144857547032675
1034445406363764
11aa8023a9a2190
123a43900a92358
13162b259a16186
1487124909b4c4
153eb00dada00e
hex1f53f235e074

34445406363764 has 96 divisors (see below), whose sum is σ = 68443862699520. Its totient is φ = 15032528784000.

The previous prime is 34445406363703. The next prime is 34445406363769. The reversal of 34445406363764 is 46736360454443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34445406363769) 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, 25913387 + ... + 27210189.

It is an arithmetic number, because the mean of its divisors is an integer number (712956903120).

Almost surely, 234445406363764 is an apocalyptic number.

It is an amenable number.

34445406363764 is a deficient number, since it is larger than the sum of its proper divisors (33998456335756).

34445406363764 is a wasteful number, since it uses less digits than its factorization.

34445406363764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297101 (or 1297099 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 59.

The spelling of 34445406363764 in words is "thirty-four trillion, four hundred forty-five billion, four hundred six million, three hundred sixty-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 22 43 44 86 101 139 172 202 278 404 473 556 946 1111 1529 1892 2222 3058 4343 4444 5977 6116 8686 11954 14039 17372 23908 28078 47773 56156 65747 95546 131494 154429 191092 262988 308858 603677 617716 1207354 1296803 2414708 2593606 5187212 6640447 13280894 14264833 26561788 28529666 55762529 57059332 111525058 130977103 180255617 223050116 261954206 360511234 523908412 613387819 721022468 1226775638 1440748133 1982811787 2453551276 2881496266 3965623574 5632015429 5762992532 7750991531 7931247148 11264030858 15501983062 18205817317 22528061716 31003966124 36411634634 61952169719 72823269268 85260906841 123904339438 170521813682 200263990487 247808678876 341043627364 400527980974 782850144631 801055961948 1565700289262 3131400578524 8611351590941 17222703181882 34445406363764