Search a number
-
+
47974766832 = 24381967359
BaseRepresentation
bin101100101011100001…
…001101100011110000
311120211102222200000000
4230223201031203300
51241223020014312
634012253430000
73315600534606
oct545341154360
9146742880000
1047974766832
1119389561433
12936a79b300
1346a72cc2c5
142471787876
1513abb9aadc
hexb2b84d8f0

47974766832 has 360 divisors, whose sum is σ = 149362761600. Its totient is φ = 14882237568.

The previous prime is 47974766761. The next prime is 47974766897. The reversal of 47974766832 is 23866747974.

It is a happy number.

47974766832 is a `hidden beast` number, since 4 + 79 + 7 + 476 + 68 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 47974766832.

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 71 ways as a sum of consecutive naturals, for example, 133634269 + ... + 133634627.

It is an arithmetic number, because the mean of its divisors is an integer number (414896560).

Almost surely, 247974766832 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 47974766832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74681380800).

47974766832 is an abundant number, since it is smaller than the sum of its proper divisors (101387994768).

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

47974766832 is an equidigital number, since it uses as much as digits as its factorization.

47974766832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 450 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 47974766832 in words is "forty-seven billion, nine hundred seventy-four million, seven hundred sixty-six thousand, eight hundred thirty-two".