Search a number
-
+
153043324560 = 24355761103179
BaseRepresentation
bin1000111010001000010…
…1111100111010010000
3112122000212000102100000
42032202011330322100
510001413042341220
6154150201330000
714025361536420
oct2164205747220
9478025012300
10153043324560
11599a5a6aa15
12257b1a96900
131157cc22819
14759ba34480
153eaad80390
hex23a217ce90

153043324560 has 960 divisors, whose sum is σ = 628639764480. Its totient is φ = 33883453440.

The previous prime is 153043324559. The next prime is 153043324573. The reversal of 153043324560 is 65423340351.

153043324560 is a `hidden beast` number, since 1 + 5 + 30 + 43 + 3 + 24 + 560 = 666.

153043324560 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

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 191 ways as a sum of consecutive naturals, for example, 854990551 + ... + 854990729.

It is an arithmetic number, because the mean of its divisors is an integer number (654833088).

Almost surely, 2153043324560 is an apocalyptic number.

153043324560 is a gapful number since it is divisible by the number (10) 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 153043324560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314319882240).

153043324560 is an abundant number, since it is smaller than the sum of its proper divisors (475596439920).

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

153043324560 is a wasteful number, since it uses less digits than its factorization.

153043324560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 153043324560 in words is "one hundred fifty-three billion, forty-three million, three hundred twenty-four thousand, five hundred sixty".