Search a number
-
+
48095290944 = 26367114519
BaseRepresentation
bin101100110010101100…
…111110011001000000
311121010211202221000000
4230302230332121000
51241444343302234
634032241000000
73321563141061
oct546254763100
9147124687000
1048095290944
11194405a0a38
1293a3023000
1346c627a94c
14248379c568
1513b7556899
hexb32b3e640

48095290944 has 196 divisors, whose sum is σ = 145118571840. Its totient is φ = 15804875520.

The previous prime is 48095290933. The next prime is 48095290949. The reversal of 48095290944 is 44909259084.

It is a super-3 number, since 3×480952909443 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (48095290949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3305317 + ... + 3319835.

Almost surely, 248095290944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48095290944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72559285920).

48095290944 is an abundant number, since it is smaller than the sum of its proper divisors (97023280896).

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

48095290944 is an equidigital number, since it uses as much as digits as its factorization.

48095290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14620 (or 14595 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 48095290944 in words is "forty-eight billion, ninety-five million, two hundred ninety thousand, nine hundred forty-four".