Search a number
-
+
48795596373888 = 2734713175361941
BaseRepresentation
bin10110001100001000111000…
…01100000011111110000000
320101202210222000020202210000
423012010130030003332000
522343431340132431023
6251440215411440000
713164236236465020
oct1306043414037600
9211683860222700
1048795596373888
1114603107066581
125580ab65b6000
13212c535a05960
14c09a102dda80
15599443571243
hex2c611c303f80

48795596373888 has 2560 divisors, whose sum is σ = 196178961242880. Its totient is φ = 11676391833600.

The previous prime is 48795596373851. The next prime is 48795596373907. The reversal of 48795596373888 is 88837369559784.

48795596373888 is a `hidden beast` number, since 4 + 8 + 7 + 9 + 5 + 596 + 3 + 7 + 3 + 8 + 8 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48795596373798 and 48795596373807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 51855043498 + ... + 51855044438.

Almost surely, 248795596373888 is an apocalyptic number.

48795596373888 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 48795596373888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98089480621440).

48795596373888 is an abundant number, since it is smaller than the sum of its proper divisors (147383364868992).

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

48795596373888 is a wasteful number, since it uses less digits than its factorization.

48795596373888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1097 counting only the distinct ones).

The product of its digits is 87787929600, while the sum is 90.

The spelling of 48795596373888 in words is "forty-eight trillion, seven hundred ninety-five billion, five hundred ninety-six million, three hundred seventy-three thousand, eight hundred eighty-eight".