Search a number
-
+
47907097056 = 25337132921011
BaseRepresentation
bin101100100111011111…
…000100100111100000
311120122201122200112000
4230213133010213200
51241103204101211
634001435204000
73314116414620
oct544737044740
9146581580460
1047907097056
11193543420a5
12934bba6600
134696298310
1424667b0880
1513a5c80656
hexb277c49e0

47907097056 has 384 divisors, whose sum is σ = 177912806400. Its totient is φ = 12198574080.

The previous prime is 47907097001. The next prime is 47907097057. The reversal of 47907097056 is 65079070974.

It is a happy number.

47907097056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 47907096993 and 47907097011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47907097057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2269591 + ... + 2290601.

It is an arithmetic number, because the mean of its divisors is an integer number (463314600).

Almost surely, 247907097056 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 47907097056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88956403200).

47907097056 is an abundant number, since it is smaller than the sum of its proper divisors (130005709344).

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

47907097056 is a wasteful number, since it uses less digits than its factorization.

47907097056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21079 (or 21065 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 47907097056 in words is "forty-seven billion, nine hundred seven million, ninety-seven thousand, fifty-six".