Search a number
-
+
48526556744448 = 2833293143917789
BaseRepresentation
bin10110000100010011110000…
…01011010100101100000000
320100211002112011201112011000
423002021320023110230000
522330024342011310243
6251112443054452000
713135633212406356
oct1302117013245400
9210732464645130
1048526556744448
1114509aa7219992
125538931804000
13211005b212353
14bda9aad997d6
15592448e905d3
hex2c22782d4b00

48526556744448 has 576 divisors, whose sum is σ = 153596298240000. Its totient is φ = 15078668451840.

The previous prime is 48526556744447. The next prime is 48526556744459. The reversal of 48526556744448 is 84444765562584.

48526556744448 is a `hidden beast` number, since 4 + 8 + 5 + 2 + 65 + 56 + 74 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48526556744447) 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 63 ways as a sum of consecutive naturals, for example, 2727887938 + ... + 2727905726.

It is an arithmetic number, because the mean of its divisors is an integer number (266660240000).

Almost surely, 248526556744448 is an apocalyptic number.

48526556744448 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 48526556744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76798149120000).

48526556744448 is an abundant number, since it is smaller than the sum of its proper divisors (105069741495552).

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

48526556744448 is a wasteful number, since it uses less digits than its factorization.

48526556744448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18313 (or 18293 counting only the distinct ones).

The product of its digits is 4128768000, while the sum is 72.

The spelling of 48526556744448 in words is "forty-eight trillion, five hundred twenty-six billion, five hundred fifty-six million, seven hundred forty-four thousand, four hundred forty-eight".