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1050020267982 = 237125691989059
BaseRepresentation
bin11110100011110100001…
…01011100011111001110
310201101021201101022112220
433101322011130133032
5114200420142033412
62122212254240210
7135601324005060
oct17217205343716
93641251338486
101050020267982
11375347081644
1214b6017b6066
137802a2b394a
1438b6d731730
151c4a7cb168c
hexf47a15c7ce

1050020267982 has 32 divisors (see below), whose sum is σ = 2400238483200. Its totient is φ = 299981771328.

The previous prime is 1050020267981. The next prime is 1050020268047. The reversal of 1050020267982 is 2897620200501.

It is a super-3 number, since 3×10500202679823 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050020267981) 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 15 ways as a sum of consecutive naturals, for example, 466632 + ... + 1522427.

It is an arithmetic number, because the mean of its divisors is an integer number (75007452600).

Almost surely, 21050020267982 is an apocalyptic number.

1050020267982 is an abundant number, since it is smaller than the sum of its proper divisors (1350218215218).

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

1050020267982 is a wasteful number, since it uses less digits than its factorization.

1050020267982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001640.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 1050020267982 in words is "one trillion, fifty billion, twenty million, two hundred sixty-seven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 12569 25138 37707 75414 87983 175966 263949 527898 1989059 3978118 5967177 11934354 13923413 27846826 41770239 83540478 25000482571 50000965142 75001447713 150002895426 175003377997 350006755994 525010133991 1050020267982