Search a number
-
+
48912704640 = 2732517796323
BaseRepresentation
bin101101100011011011…
…001010010010000000
311200020210212211210100
4231203123022102000
51300133123022030
634245321002400
73351050062302
oct554333122200
9150223784710
1048912704640
111981aa45a48
129590923400
1347c67199a7
14252017b972
1514141bd360
hexb636ca480

48912704640 has 384 divisors, whose sum is σ = 181129478400. Its totient is φ = 12118818816.

The previous prime is 48912704591. The next prime is 48912704651. The reversal of 48912704640 is 4640721984.

48912704640 is a `hidden beast` number, since 489 + 127 + 0 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7732519 + ... + 7738841.

It is an arithmetic number, because the mean of its divisors is an integer number (471691350).

Almost surely, 248912704640 is an apocalyptic number.

48912704640 is a gapful number since it is divisible by the number (40) 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 48912704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90564739200).

48912704640 is an abundant number, since it is smaller than the sum of its proper divisors (132216773760).

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

48912704640 is a wasteful number, since it uses less digits than its factorization.

48912704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48912704640 in words is "forty-eight billion, nine hundred twelve million, seven hundred four thousand, six hundred forty".