Search a number
-
+
154286530560 = 2133251393011
BaseRepresentation
bin1000111110110000110…
…0011010000000000000
3112202020111022211100200
42033230030122000000
510011434322434220
6154513411445200
714101235604621
oct2175414320000
9482214284320
10154286530560
115a4837a6a98
1225a9a2b6800
131171a663b86
147678bada48
1540300a2890
hex23ec31a000

154286530560 has 336 divisors, whose sum is σ = 538853908320. Its totient is φ = 40833515520.

The previous prime is 154286530523. The next prime is 154286530571. The reversal of 154286530560 is 65035682451.

154286530560 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 86 + 5 + 3 + 0 + 560 = 666.

154286530560 is digitally balanced in base 3, 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 (45).

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 23 ways as a sum of consecutive naturals, for example, 51239455 + ... + 51242465.

It is an arithmetic number, because the mean of its divisors is an integer number (1603731870).

Almost surely, 2154286530560 is an apocalyptic number.

154286530560 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 154286530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269426954160).

154286530560 is an abundant number, since it is smaller than the sum of its proper divisors (384567377760).

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

154286530560 is a wasteful number, since it uses less digits than its factorization.

154286530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 154286530560 in words is "one hundred fifty-four billion, two hundred eighty-six million, five hundred thirty thousand, five hundred sixty".