Search a number
-
+
1053673011776 = 267111912788609
BaseRepresentation
bin11110101010100111100…
…11100011101001000000
310201201201021122221001002
433111103303203221000
5114230410242334101
62124014541231132
7136060666552640
oct17252363435100
93651637587032
101053673011776
11376950a45070
12150260b624a8
137848cc9ccc8
1438dd88d0520
151c61d7e0d6b
hexf553ce3a40

1053673011776 has 224 divisors, whose sum is σ = 2765652787200. Its totient is φ = 385848852480.

The previous prime is 1053673011707. The next prime is 1053673011823. The reversal of 1053673011776 is 6771103763501.

1053673011776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10536730117762 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053673011776.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11846960 + ... + 11935568.

Almost surely, 21053673011776 is an apocalyptic number.

1053673011776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053673011776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382826393600).

1053673011776 is an abundant number, since it is smaller than the sum of its proper divisors (1711979775424).

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

1053673011776 is a wasteful number, since it uses less digits than its factorization.

1053673011776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88785 (or 88775 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 47.

The spelling of 1053673011776 in words is "one trillion, fifty-three billion, six hundred seventy-three million, eleven thousand, seven hundred seventy-six".