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1050911887168 = 261121317241881
BaseRepresentation
bin11110100101011110011…
…10101100111101000000
310201110120212010021010201
433102233032230331000
5114204231420342133
62122440544534544
7135632401436653
oct17225716547500
93643525107121
101050911887168
113757643aa300
1214b810321454
137813cc34770
1438c15d0989a
151c50b1d4d7d
hexf4af3acf40

1050911887168 has 504 divisors, whose sum is σ = 2689302456792. Its totient is φ = 404422656000.

The previous prime is 1050911887087. The next prime is 1050911887171. The reversal of 1050911887168 is 8617881190501.

It can be written as a sum of positive squares in 12 ways, for example, as 489563297344 + 561348589824 = 699688^2 + 749232^2 .

It is a super-2 number, since 2×10509118871682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1192862088 + ... + 1192862968.

It is an arithmetic number, because the mean of its divisors is an integer number (5335917573).

Almost surely, 21050911887168 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 1050911887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344651228396).

1050911887168 is an abundant number, since it is smaller than the sum of its proper divisors (1638390569624).

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

1050911887168 is a wasteful number, since it uses less digits than its factorization.

1050911887168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 55.

The spelling of 1050911887168 in words is "one trillion, fifty billion, nine hundred eleven million, eight hundred eighty-seven thousand, one hundred sixty-eight".