Search a number
-
+
158528043648 = 2733136075813
BaseRepresentation
bin1001001110100100000…
…0011111101010000000
3120011012002111000111000
42103221000133222000
510044131134344043
6200454330052000
714311321065162
oct2235100375200
9504162430430
10158528043648
116125aa47607
122688287a000
1311c45316030
14795c230932
1541cc6322d3
hex24e901fa80

158528043648 has 256 divisors, whose sum is σ = 504785433600. Its totient is φ = 48689123328.

The previous prime is 158528043623. The next prime is 158528043649. The reversal of 158528043648 is 846340825851.

158528043648 is a `hidden beast` number, since 1 + 58 + 528 + 0 + 4 + 3 + 64 + 8 = 666.

It is a super-2 number, since 2×1585280436482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 158528043594 and 158528043603.

It is not an unprimeable number, because it can be changed into a prime (158528043649) 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, 27268390 + ... + 27274202.

It is an arithmetic number, because the mean of its divisors is an integer number (1971818100).

Almost surely, 2158528043648 is an apocalyptic number.

158528043648 is a gapful number since it is divisible by the number (18) 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 158528043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252392716800).

158528043648 is an abundant number, since it is smaller than the sum of its proper divisors (346257389952).

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

158528043648 is a wasteful number, since it uses less digits than its factorization.

158528043648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 158528043648 in words is "one hundred fifty-eight billion, five hundred twenty-eight million, forty-three thousand, six hundred forty-eight".