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1050286967664 = 243113192337619
BaseRepresentation
bin11110100100010011111…
…10110100101101110000
310201101222022020001201220
433102021332310231300
5114201441430431124
62122254542425040
7135611042632134
oct17221176645560
93641868201656
101050286967664
11375473681000
1214b676b92180
13780706224cc
1438b96d173c4
151c4c13e3879
hexf489fb4b70

1050286967664 has 320 divisors, whose sum is σ = 3278104473600. Its totient is φ = 288400654080.

The previous prime is 1050286967663. The next prime is 1050286967707. The reversal of 1050286967664 is 4667696820501.

It is a super-2 number, since 2×10502869676642 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1050286967598 and 1050286967607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050286967663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27900247 + ... + 27937865.

It is an arithmetic number, because the mean of its divisors is an integer number (10244076480).

Almost surely, 21050286967664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050286967664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639052236800).

1050286967664 is an abundant number, since it is smaller than the sum of its proper divisors (2227817505936).

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

1050286967664 is a wasteful number, since it uses less digits than its factorization.

1050286967664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37705 (or 37677 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 1050286967664 in words is "one trillion, fifty billion, two hundred eighty-six million, nine hundred sixty-seven thousand, six hundred sixty-four".