Search a number
-
+
15626048256 = 283473133
BaseRepresentation
bin11101000110110001…
…01001001100000000
31111100000011111110000
432203120221030000
5224000232021011
611102320240000
71062141135000
oct164330511400
944300144400
1015626048256
116699551375
123041170000
131620465000
14a8342c000
15616c7a356
hex3a3629300

15626048256 has 720 divisors, whose sum is σ = 58863112000. Its totient is φ = 4121155584.

The previous prime is 15626048237. The next prime is 15626048281. The reversal of 15626048256 is 65284062651.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

15626048256 is a `hidden beast` number, since 1 + 5 + 62 + 60 + 482 + 56 = 666.

It is a zygodrome in base 3.

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 79 ways as a sum of consecutive naturals, for example, 1202003706 + ... + 1202003718.

Almost surely, 215626048256 is an apocalyptic number.

15626048256 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 15626048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29431556000).

15626048256 is an abundant number, since it is smaller than the sum of its proper divisors (43237063744).

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

15626048256 is an frugal number, since it uses more digits than its factorization.

15626048256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 15626048256 in words is "fifteen billion, six hundred twenty-six million, forty-eight thousand, two hundred fifty-six".