Search a number
-
+
48318822594 = 23471719253131
BaseRepresentation
bin101101000000000001…
…101011100011000010
311121201102101111210000
4231000001223203002
51242424104310334
634110344020430
73330246133620
oct550001534302
9147642344700
1048318822594
1119545796639
129445a61716
1347306839b3
1424a5348510
1513cbead299
hexb4006b8c2

48318822594 has 480 divisors, whose sum is σ = 141958624896. Its totient is φ = 11984993280.

The previous prime is 48318822583. The next prime is 48318822599. The reversal of 48318822594 is 49522881384.

48318822594 is a `hidden beast` number, since 48 + 3 + 1 + 8 + 8 + 2 + 2 + 594 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 48318822594.

It is not an unprimeable number, because it can be changed into a prime (48318822599) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 368845909 + ... + 368846039.

Almost surely, 248318822594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48318822594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70979312448).

48318822594 is an abundant number, since it is smaller than the sum of its proper divisors (93639802302).

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

48318822594 is a wasteful number, since it uses less digits than its factorization.

48318822594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 48318822594 in words is "forty-eight billion, three hundred eighteen million, eight hundred twenty-two thousand, five hundred ninety-four".