Search a number
-
+
47115125640 = 233251173349467
BaseRepresentation
bin101011111000010001…
…111100001110001000
311111121112102100222100
4223320101330032020
51232442433010030
633351104353400
73255361650222
oct537021741610
9144545370870
1047115125640
1118a88295270
12916a915860
13459b19688b
1423cd535412
15135b492360
hexaf847c388

47115125640 has 384 divisors, whose sum is σ = 170181648000. Its totient is φ = 11209052160.

The previous prime is 47115125599. The next prime is 47115125641. The reversal of 47115125640 is 4652151174.

47115125640 is a `hidden beast` number, since 4 + 7 + 1 + 1 + 5 + 1 + 2 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47115125595 and 47115125604.

It is not an unprimeable number, because it can be changed into a prime (47115125641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 100888687 + ... + 100889153.

It is an arithmetic number, because the mean of its divisors is an integer number (443181375).

Almost surely, 247115125640 is an apocalyptic number.

47115125640 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 47115125640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85090824000).

47115125640 is an abundant number, since it is smaller than the sum of its proper divisors (123066522360).

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

47115125640 is a wasteful number, since it uses less digits than its factorization.

47115125640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 47115125640 in words is "forty-seven billion, one hundred fifteen million, one hundred twenty-five thousand, six hundred forty".