Search a number
-
+
154270027296 = 2532721117531103
BaseRepresentation
bin1000111110101100110…
…1011100111000100000
3112202012100021101010200
42033223031130320200
510011421111333141
6154512022025200
714100645411300
oct2175315347040
9482170241120
10154270027296
115a475454930
1225a94878200
1311717106228
147676915600
15402d8e2ab6
hex23eb35ce20

154270027296 has 864 divisors, whose sum is σ = 601139605248. Its totient is φ = 36967956480.

The previous prime is 154270027291. The next prime is 154270027309. The reversal of 154270027296 is 692720072451.

154270027296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (154270027291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139863481 + ... + 139864583.

It is an arithmetic number, because the mean of its divisors is an integer number (695763432).

Almost surely, 2154270027296 is an apocalyptic number.

154270027296 is a gapful number since it is divisible by the number (16) 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 154270027296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300569802624).

154270027296 is an abundant number, since it is smaller than the sum of its proper divisors (446869577952).

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

154270027296 is a wasteful number, since it uses less digits than its factorization.

154270027296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 154270027296 in words is "one hundred fifty-four billion, two hundred seventy million, twenty-seven thousand, two hundred ninety-six".