Search a number
-
+
47112855552 = 213367323
BaseRepresentation
bin101011111000001001…
…010010000000000000
311111121101011001000000
4223320021102000000
51232441342334202
633350544000000
73255333444000
oct537011220000
9144541131000
1047112855552
1118a86a84764
12916a000000
13459a880529
1423cd104000
15135b19491c
hexaf8252000

47112855552 has 784 divisors, whose sum is σ = 171903542400. Its totient is φ = 12875563008.

The previous prime is 47112855533. The next prime is 47112855557. The reversal of 47112855552 is 25555821174.

It is a happy number.

47112855552 is a `hidden beast` number, since 4 + 7 + 1 + 12 + 85 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

It is a super-3 number, since 3×471128555523 (a number of 33 digits) contains 333 as substring.

Its product of digits (560000) is a multiple of the sum of its prime divisors (35).

It is a junction number, because it is equal to n+sod(n) for n = 47112855498 and 47112855507.

It is not an unprimeable number, because it can be changed into a prime (47112855557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2048385013 + ... + 2048385035.

Almost surely, 247112855552 is an apocalyptic number.

47112855552 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 47112855552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85951771200).

47112855552 is an abundant number, since it is smaller than the sum of its proper divisors (124790686848).

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

47112855552 is an frugal number, since it uses more digits than its factorization.

47112855552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 35 counting only the distinct ones).

The product of its digits is 560000, while the sum is 45.

The spelling of 47112855552 in words is "forty-seven billion, one hundred twelve million, eight hundred fifty-five thousand, five hundred fifty-two".