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2046020060640 = 25354262541793
BaseRepresentation
bin11101110001100000010…
…011001000010111100000
321020121010122201011011110
4131301200103020113200
5232010222113420030
64203532330343320
7300551166365043
oct35614023102740
97217118634143
102046020060640
11719791a91556
12290647b8ab40
1311ac288b759a
14710567acc5a
153834d2611b0
hex1dc604c85e0

2046020060640 has 48 divisors (see below), whose sum is σ = 6444963192528. Its totient is φ = 545605349376.

The previous prime is 2046020060639. The next prime is 2046020060647. The reversal of 2046020060640 is 460600206402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2046020060598 and 2046020060607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046020060647) 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, 2131270417 + ... + 2131271376.

It is an arithmetic number, because the mean of its divisors is an integer number (134270066511).

Almost surely, 22046020060640 is an apocalyptic number.

2046020060640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2046020060640 is an abundant number, since it is smaller than the sum of its proper divisors (4398943131888).

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

2046020060640 is a wasteful number, since it uses less digits than its factorization.

2046020060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262541811 (or 4262541803 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 2046020060640 in words is "two trillion, forty-six billion, twenty million, sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4262541793 8525083586 12787625379 17050167172 21312708965 25575250758 34100334344 42625417930 51150501516 63938126895 68200668688 85250835860 102301003032 127876253790 136401337376 170501671720 204602006064 255752507580 341003343440 409204012128 511505015160 682006686880 1023010030320 2046020060640