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2145748312784 = 24140995180461
BaseRepresentation
bin11111001110011000100…
…100001110001011010000
321121010112220000021102202
4133032120210032023100
5240123443032002114
64321424305102332
7311011433502536
oct37163044161320
97533486007382
102145748312784
11758008a8a44a
122a7a3a9279a8
1312746000b77b
1475bd76d2156
153ac386bccde
hex1f39890e2d0

2145748312784 has 20 divisors (see below), whose sum is σ = 4160337994020. Its totient is φ = 1072112701440.

The previous prime is 2145748312783. The next prime is 2145748312793. The reversal of 2145748312784 is 4872138475412.

It can be written as a sum of positive squares in 2 ways, for example, as 997361742400 + 1148386570384 = 998680^2 + 1071628^2 .

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145748312783) 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 3 ways as a sum of consecutive naturals, for example, 47567687 + ... + 47612774.

It is an arithmetic number, because the mean of its divisors is an integer number (208016899701).

Almost surely, 22145748312784 is an apocalyptic number.

It is an amenable number.

2145748312784 is a deficient number, since it is larger than the sum of its proper divisors (2014589681236).

2145748312784 is a wasteful number, since it uses less digits than its factorization.

2145748312784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95181878 (or 95181872 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 56.

The spelling of 2145748312784 in words is "two trillion, one hundred forty-five billion, seven hundred forty-eight million, three hundred twelve thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 1409 2818 5636 11272 22544 95180461 190360922 380721844 761443688 1522887376 134109269549 268218539098 536437078196 1072874156392 2145748312784