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3432829444608 = 29311631921681
BaseRepresentation
bin110001111101000100100…
…101000110001000000000
3110011011201210020020010210
4301331010211012020000
5422220413314211413
611145004200354120
7503004466555434
oct61750445061000
913134653206123
103432829444608
111103944800783
1247537b775940
131bb93979c7c5
14bc2151d09c4
155e46836a3c3
hex31f44946200

3432829444608 has 80 divisors (see below), whose sum is σ = 9153140474016. Its totient is φ = 1143291985920.

The previous prime is 3432829444601. The next prime is 3432829444609. The reversal of 3432829444608 is 8064449282343.

It is not an unprimeable number, because it can be changed into a prime (3432829444601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825528 + ... + 2747208.

Almost surely, 23432829444608 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 3432829444608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576570237008).

3432829444608 is an abundant number, since it is smaller than the sum of its proper divisors (5720311029408).

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

3432829444608 is a wasteful number, since it uses less digits than its factorization.

3432829444608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922865 (or 1922849 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 57.

The spelling of 3432829444608 in words is "three trillion, four hundred thirty-two billion, eight hundred twenty-nine million, four hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1163 1536 2326 3489 4652 6978 9304 13956 18608 27912 37216 55824 74432 111648 148864 223296 297728 446592 595456 893184 1786368 1921681 3843362 5765043 7686724 11530086 15373448 23060172 30746896 46120344 61493792 92240688 122987584 184481376 245975168 368962752 491950336 737925504 983900672 1475851008 2234915003 2951702016 4469830006 6704745009 8939660012 13409490018 17879320024 26818980036 35758640048 53637960072 71517280096 107275920144 143034560192 214551840288 286069120384 429103680576 572138240768 858207361152 1144276481536 1716414722304 3432829444608