Search a number
-
+
48550208951808 = 293317536615897
BaseRepresentation
bin10110000100111111110011…
…11101010101011000000000
320100220100120112112011001000
423002133321331111120000
522330421311442424213
6251131354051412000
713140431303015214
oct1302377175253000
9210810515464030
1048550208951808
11145190342853a3
1255414328b4000
13211235a449115
14bdbbb2340944
15592d80681c73
hex2c27f9f55600

48550208951808 has 640 divisors, whose sum is σ = 155297565498240. Its totient is φ = 14918913884160.

The previous prime is 48550208951807. The next prime is 48550208951831. The reversal of 48550208951808 is 80815980205584.

48550208951808 is a `hidden beast` number, since 4 + 8 + 550 + 20 + 8 + 9 + 51 + 8 + 0 + 8 = 666.

48550208951808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48550208951807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8233032316 + ... + 8233038212.

It is an arithmetic number, because the mean of its divisors is an integer number (242652446091).

Almost surely, 248550208951808 is an apocalyptic number.

48550208951808 is a gapful number since it is divisible by the number (48) 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 48550208951808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77648782749120).

48550208951808 is an abundant number, since it is smaller than the sum of its proper divisors (106747356546432).

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

48550208951808 is a wasteful number, since it uses less digits than its factorization.

48550208951808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 63.

The spelling of 48550208951808 in words is "forty-eight trillion, five hundred fifty billion, two hundred eight million, nine hundred fifty-one thousand, eight hundred eight".