Search a number
-
+
1050046525920 = 253572609119783
BaseRepresentation
bin11110100011110111010…
…01100111000111100000
310201101100112210100200010
433101323221213013200
5114200443402312140
62122215033124520
7135602063126610
oct17217351470740
93641315710603
101050046525920
1137535a986617
1214b60a559740
13780328785a2
1438b73008a40
151c4aa24b880
hexf47ba671e0

1050046525920 has 192 divisors, whose sum is σ = 3781647959040. Its totient is φ = 239916638208.

The previous prime is 1050046525889. The next prime is 1050046525921. The reversal of 1050046525920 is 295256400501.

It is a super-3 number, since 3×10500465259203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050046525921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8706349 + ... + 8826131.

It is an arithmetic number, because the mean of its divisors is an integer number (19696083120).

Almost surely, 21050046525920 is an apocalyptic number.

1050046525920 is a gapful number since it is divisible by the number (10) 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 1050046525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890823979520).

1050046525920 is an abundant number, since it is smaller than the sum of its proper divisors (2731601433120).

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

1050046525920 is a wasteful number, since it uses less digits than its factorization.

1050046525920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122417 (or 122409 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 1050046525920 in words is "one trillion, fifty billion, forty-six million, five hundred twenty-five thousand, nine hundred twenty".