Search a number
-
+
1125840484824 = 2331117233743787
BaseRepresentation
bin10000011000100001010…
…100100111100111011000
310222121222202111101222020
4100120201110213213120
5121421210131003244
62221112020454440
7144224243136666
oct20304124474730
93877882441866
101125840484824
113a451466a780
1216224184a420
138222149aa93
143c6c3317c36
151e444345d19
hex106215279d8

1125840484824 has 192 divisors, whose sum is σ = 3271468037760. Its totient is φ = 320135208960.

The previous prime is 1125840484819. The next prime is 1125840484891. The reversal of 1125840484824 is 4284840485211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25689859 + ... + 25733645.

It is an arithmetic number, because the mean of its divisors is an integer number (17038896030).

Almost surely, 21125840484824 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 1125840484824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635734018880).

1125840484824 is an abundant number, since it is smaller than the sum of its proper divisors (2145627552936).

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

1125840484824 is a wasteful number, since it uses less digits than its factorization.

1125840484824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44178 (or 44157 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 51.

The spelling of 1125840484824 in words is "one trillion, one hundred twenty-five billion, eight hundred forty million, four hundred eighty-four thousand, eight hundred twenty-four".