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2103968352744 = 233229221782677
BaseRepresentation
bin11110100111011110010…
…010010100100111101000
321110010201011122101210100
4132213132102110213220
5233432411344241434
64250314423345400
7305002203631056
oct36473622244750
97403634571710
102103968352744
11741319315055
1229b91a8b2260
1312353226481b
1473b929871d6
1539ae07da699
hex1e9de4949e8

2103968352744 has 24 divisors (see below), whose sum is σ = 5698247622210. Its totient is φ = 701322784224.

The previous prime is 2103968352701. The next prime is 2103968352779. The reversal of 2103968352744 is 4472538693012.

2103968352744 is a `hidden beast` number, since 2 + 1 + 0 + 39 + 6 + 83 + 527 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1820507944644 + 283460408100 = 1349262^2 + 532410^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14610891267 + ... + 14610891410.

It is a 1-persistent number, because it is pandigital, but 2⋅2103968352744 = 4207936705488 is not.

Almost surely, 22103968352744 is an apocalyptic number.

2103968352744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2103968352744 is an abundant number, since it is smaller than the sum of its proper divisors (3594279269466).

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

2103968352744 is a wasteful number, since it uses less digits than its factorization.

2103968352744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29221782689 (or 29221782682 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2103968352744 in words is "two trillion, one hundred three billion, nine hundred sixty-eight million, three hundred fifty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29221782677 58443565354 87665348031 116887130708 175330696062 233774261416 262996044093 350661392124 525992088186 701322784248 1051984176372 2103968352744