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2084672726560 = 255124910431709
BaseRepresentation
bin11110010101100000001…
…011010110011000100000
321101021220102112000202201
4132111200023112120200
5233123402204222220
64233404015222544
7303420063543124
oct36254013263040
97337812460681
102084672726560
11734117452556
12298034817a54
1312177879b038
1472c82057584
1539361807d0a
hex1e5602d6620

2084672726560 has 48 divisors (see below), whose sum is σ = 4928982975000. Its totient is φ = 833201381376.

The previous prime is 2084672726527. The next prime is 2084672726567. The reversal of 2084672726560 is 656272764802.

It can be written as a sum of positive squares in 4 ways, for example, as 835812835984 + 1248859890576 = 914228^2 + 1117524^2 .

It is not an unprimeable number, because it can be changed into a prime (2084672726567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5016015 + ... + 5415694.

Almost surely, 22084672726560 is an apocalyptic number.

2084672726560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084672726560 is an abundant number, since it is smaller than the sum of its proper divisors (2844310248440).

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

2084672726560 is a wasteful number, since it uses less digits than its factorization.

2084672726560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432973 (or 10432965 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 2084672726560 in words is "two trillion, eighty-four billion, six hundred seventy-two million, seven hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1249 2498 4996 6245 9992 12490 19984 24980 39968 49960 99920 199840 10431709 20863418 41726836 52158545 83453672 104317090 166907344 208634180 333814688 417268360 834536720 1669073440 13029204541 26058409082 52116818164 65146022705 104233636328 130292045410 208467272656 260584090820 416934545312 521168181640 1042336363280 2084672726560