Search a number
-
+
1052571740928 = 283234767127149
BaseRepresentation
bin11110101000100100010…
…10100010101100000000
310201121212112102120102220
433110102022202230000
5114221131331202203
62123313401211040
7136021465114521
oct17242212425400
93647775376386
101052571740928
11376436341a74
1214bbb4190a80
1378345a95a56
1438d32540848
151c5a6ca8653
hexf5122a2b00

1052571740928 has 576 divisors, whose sum is σ = 3074280652800. Its totient is φ = 318857527296.

The previous prime is 1052571740921. The next prime is 1052571740929. The reversal of 1052571740928 is 8290471752501.

It is a happy number.

It is a super-2 number, since 2×10525717409282 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052571740921) 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, 7064239798 + ... + 7064239946.

It is an arithmetic number, because the mean of its divisors is an integer number (5337292800).

Almost surely, 21052571740928 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 1052571740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537140326400).

1052571740928 is an abundant number, since it is smaller than the sum of its proper divisors (2021708911872).

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

1052571740928 is a wasteful number, since it uses less digits than its factorization.

1052571740928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 1052571740928 in words is "one trillion, fifty-two billion, five hundred seventy-one million, seven hundred forty thousand, nine hundred twenty-eight".