Search a number
-
+
23341336128 = 26321122916087
BaseRepresentation
bin10101101111010000…
…001000011001000000
32020020200211201201200
4111233100020121000
5340300340224003
614420045501200
71454264040435
oct255720103100
966220751650
1023341336128
119998637340
124634b71800
13227ca009c6
1411b5d81b8c
159192866a3
hex56f408640

23341336128 has 168 divisors, whose sum is σ = 73309154880. Its totient is φ = 7041807360.

The previous prime is 23341336127. The next prime is 23341336159. The reversal of 23341336128 is 82163314332.

23341336128 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 1 + 33 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23341336092 and 23341336101.

It is not an unprimeable number, because it can be changed into a prime (23341336127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1442901 + ... + 1458987.

Almost surely, 223341336128 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 23341336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36654577440).

23341336128 is an abundant number, since it is smaller than the sum of its proper divisors (49967818752).

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

23341336128 is a wasteful number, since it uses less digits than its factorization.

23341336128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16345 (or 16332 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 23341336128 in words is "twenty-three billion, three hundred forty-one million, three hundred thirty-six thousand, one hundred twenty-eight".