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1982406319747 = 72791101469331
BaseRepresentation
bin11100110110010000100…
…111111101111010000011
321000111221022020021211221
4130312100213331322003
5224434432004212442
64114412131215511
7263136606455440
oct34662047757203
97014838207757
101982406319747
116a4808760477
12280253a47597
13114c2b578a99
146bd3ddd09c7
1536878635467
hex1cd909fde83

1982406319747 has 8 divisors (see below), whose sum is σ = 2266418999552. Its totient is φ = 1698596584200.

The previous prime is 1982406319727. The next prime is 1982406319759. The reversal of 1982406319747 is 7479136042891.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1982406319747 - 219 = 1982405795459 is a prime.

It is a super-3 number, since 3×19824063197473 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1982406319727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50715129 + ... + 50754202.

It is an arithmetic number, because the mean of its divisors is an integer number (283302374944).

Almost surely, 21982406319747 is an apocalyptic number.

1982406319747 is a deficient number, since it is larger than the sum of its proper divisors (284012679805).

1982406319747 is a wasteful number, since it uses less digits than its factorization.

1982406319747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101472129.

The product of its (nonzero) digits is 18289152, while the sum is 61.

The spelling of 1982406319747 in words is "one trillion, nine hundred eighty-two billion, four hundred six million, three hundred nineteen thousand, seven hundred forty-seven".

Divisors: 1 7 2791 19537 101469331 710285317 283200902821 1982406319747