Search a number
-
+
48880512072 = 23347311492333
BaseRepresentation
bin101101100001100000…
…010110110001001000
311200011120022021220000
4231201200112301020
51300101402341242
634242211003000
73350206332360
oct554140266110
9150146267800
1048880512072
1119803858217
129581b99460
1347bcb57a32
142519b9b9a0
15141145ea4c
hexb61816c48

48880512072 has 320 divisors, whose sum is σ = 162670464000. Its totient is φ = 13418887680.

The previous prime is 48880512049. The next prime is 48880512101. The reversal of 48880512072 is 27021508884.

It is a happy number.

48880512072 is a `hidden beast` number, since 488 + 80 + 5 + 1 + 20 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20950618 + ... + 20952950.

It is an arithmetic number, because the mean of its divisors is an integer number (508345200).

Almost surely, 248880512072 is an apocalyptic number.

48880512072 is a gapful number since it is divisible by the number (42) 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 48880512072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81335232000).

48880512072 is an abundant number, since it is smaller than the sum of its proper divisors (113789951928).

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

48880512072 is a wasteful number, since it uses less digits than its factorization.

48880512072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 48880512072 in words is "forty-eight billion, eight hundred eighty million, five hundred twelve thousand, seventy-two".