Search a number
-
+
47089486080 = 2834572132331
BaseRepresentation
bin101011110110110000…
…001000100100000000
311111112202011202010000
4223312300020210000
51232414402023310
633344351040000
73254631012300
oct536660104400
9144482152100
1047089486080
1118a7487294a
129162210000
134595a8a540
1423c9d7d600
1513590ca4c0
hexaf6c08900

47089486080 has 2160 divisors, whose sum is σ = 227363963904. Its totient is φ = 9196830720.

The previous prime is 47089486079. The next prime is 47089486109. The reversal of 47089486080 is 8068498074.

47089486080 is a `hidden beast` number, since 4 + 7 + 0 + 89 + 486 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1519015665 + ... + 1519015695.

Almost surely, 247089486080 is an apocalyptic number.

47089486080 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 47089486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113681981952).

47089486080 is an abundant number, since it is smaller than the sum of its proper divisors (180274477824).

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

47089486080 is a wasteful number, since it uses less digits than its factorization.

47089486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 47089486080 in words is "forty-seven billion, eighty-nine million, four hundred eighty-six thousand, eighty".