Search a number
-
+
47732680512 = 263611175471
BaseRepresentation
bin101100011101000101…
…101110011101000000
311120012120110102000000
4230131011232131000
51240224031234022
633532245000000
73306601042566
oct543505563500
9146176412000
1047732680512
11192749433a0
1293016b3000
1346690ca96a
14244b56ba36
1513957cb6ac
hexb1d16e740

47732680512 has 392 divisors, whose sum is σ = 164067939072. Its totient is φ = 13611110400.

The previous prime is 47732680507. The next prime is 47732680573. The reversal of 47732680512 is 21508623774.

47732680512 is a `hidden beast` number, since 4 + 7 + 73 + 2 + 68 + 0 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 8721937 + ... + 8727407.

Almost surely, 247732680512 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 47732680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82033969536).

47732680512 is an abundant number, since it is smaller than the sum of its proper divisors (116335258560).

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

47732680512 is a wasteful number, since it uses less digits than its factorization.

47732680512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 47732680512 in words is "forty-seven billion, seven hundred thirty-two million, six hundred eighty thousand, five hundred twelve".