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2012405770000 = 24541711837681
BaseRepresentation
bin11101010010001100101…
…110110010011100010000
321010101101000111021010001
4131102030232302130100
5230432401334120000
64140253023415344
7265251201544513
oct35221456623420
97111330437101
102012405770000
1170650265946a
12286026754554
131179cc7aa892
146d588334d7a
15375321a146a
hex1d48cbb2710

2012405770000 has 100 divisors (see below), whose sum is σ = 5158838140236. Its totient is φ = 757611520000.

The previous prime is 2012405769971. The next prime is 2012405770009. The reversal of 2012405770000 is 775042102.

It can be written as a sum of positive squares in 10 ways, for example, as 852623237376 + 1159782532624 = 923376^2 + 1076932^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2012405770009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5748841 + ... + 6088840.

Almost surely, 22012405770000 is an apocalyptic number.

2012405770000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012405770000 is an abundant number, since it is smaller than the sum of its proper divisors (3146432370236).

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

2012405770000 is a wasteful number, since it uses less digits than its factorization.

2012405770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11837726 (or 11837705 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The spelling of 2012405770000 in words is "two trillion, twelve billion, four hundred five million, seven hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 85000 170000 11837681 23675362 47350724 59188405 94701448 118376810 189402896 201240577 236753620 295942025 402481154 473507240 591884050 804962308 947014480 1006202885 1183768100 1479710125 1609924616 2012405770 2367536200 2959420250 3219849232 4024811540 4735072400 5031014425 5918840500 7398550625 8049623080 10062028850 11837681000 14797101250 16099246160 20124057700 23675362000 25155072125 29594202500 40248115400 50310144250 59188405000 80496230800 100620288500 118376810000 125775360625 201240577000 251550721250 402481154000 503101442500 1006202885000 2012405770000