Search a number
-
+
1125435324552 = 2337211337258161
BaseRepresentation
bin10000011000001001001…
…011000011100010001000
310222120221112010010120020
4100120021023003202020
5121414342420341202
62221003504500440
7144211223263500
oct20301113034210
93876845103506
101125435324552
113a432699a880
1216214a01a720
1382188570786
143c6855aca00
151e41d9b35bc
hex106092c3888

1125435324552 has 192 divisors, whose sum is σ = 3581099346240. Its totient is φ = 291452313600.

The previous prime is 1125435324511. The next prime is 1125435324569. The reversal of 1125435324552 is 2554235345211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4230352 + ... + 4488512.

It is an arithmetic number, because the mean of its divisors is an integer number (18651559095).

Almost surely, 21125435324552 is an apocalyptic number.

1125435324552 is a gapful number since it is divisible by the number (12) 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 1125435324552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790549673120).

1125435324552 is an abundant number, since it is smaller than the sum of its proper divisors (2455664021688).

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

1125435324552 is a wasteful number, since it uses less digits than its factorization.

1125435324552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258532 (or 258521 counting only the distinct ones).

The product of its digits is 720000, while the sum is 42.

The spelling of 1125435324552 in words is "one trillion, one hundred twenty-five billion, four hundred thirty-five million, three hundred twenty-four thousand, five hundred fifty-two".