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2085746341040 = 245139187567117
BaseRepresentation
bin11110010110100000001…
…010110111010010110000
321101101200020201021221222
4132112200022313102300
5233133102030403130
64234102330404212
7303455511243365
oct36264012672260
97341606637858
102085746341040
11734618485a4a
12298294290668
131218ba040c8b
1472d4488846c
15393c5bcace5
hex1e5a02b74b0

2085746341040 has 40 divisors (see below), whose sum is σ = 4884247752720. Its totient is φ = 828296384256.

The previous prime is 2085746341033. The next prime is 2085746341073. The reversal of 2085746341040 is 401436475802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2085746340982 and 2085746341000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 93772439 + ... + 93794678.

It is an arithmetic number, because the mean of its divisors is an integer number (122106193818).

Almost surely, 22085746341040 is an apocalyptic number.

2085746341040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085746341040 is an abundant number, since it is smaller than the sum of its proper divisors (2798501411680).

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

2085746341040 is a wasteful number, since it uses less digits than its factorization.

2085746341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187567269 (or 187567263 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 2085746341040 in words is "two trillion, eighty-five billion, seven hundred forty-six million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 11120 187567117 375134234 750268468 937835585 1500536936 1875671170 3001073872 3751342340 7502684680 15005369360 26071829263 52143658526 104287317052 130359146315 208574634104 260718292630 417149268208 521436585260 1042873170520 2085746341040