Search a number
-
+
47768932232 = 2374192832
BaseRepresentation
bin101100011111010000…
…000000111110001000
311120022002200012000022
4230133100000332020
51240312321312412
633540022000012
73310521140000
oct543720007610
9146262605008
1047768932232
111929335389a
129311876008
134673781398
1424522c7000
151398a8ca72
hexb1f400f88

47768932232 has 180 divisors, whose sum is σ = 111621796695. Its totient is φ = 19161231264.

The previous prime is 47768932229. The next prime is 47768932241. The reversal of 47768932232 is 23223986774.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 23884466116 + 23884466116 = 154546^2 + 154546^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=154546.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 575529263 + ... + 575529345.

Almost surely, 247768932232 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 47768932232

47768932232 is an abundant number, since it is smaller than the sum of its proper divisors (63852864463).

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

47768932232 is an frugal number, since it uses more digits than its factorization.

47768932232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 111 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 53.

The spelling of 47768932232 in words is "forty-seven billion, seven hundred sixty-eight million, nine hundred thirty-two thousand, two hundred thirty-two".