Search a number
-
+
47779946496 = 213331797131
BaseRepresentation
bin101100011111111010…
…000010000000000000
311120022212101202202000
4230133322002000000
51240323131241441
633541054024000
73311013562362
oct543772020000
9146285352660
1047779946496
1119299596a97
1293154a8000
134675b397b9
142453952d32
151399a162b6
hexb1fe82000

47779946496 has 448 divisors, whose sum is σ = 152589951360. Its totient is φ = 14722007040.

The previous prime is 47779946483. The next prime is 47779946531. The reversal of 47779946496 is 69464997774.

47779946496 is a `hidden beast` number, since 4 + 7 + 7 + 7 + 99 + 46 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364732351 + ... + 364732481.

It is an arithmetic number, because the mean of its divisors is an integer number (340602570).

Almost surely, 247779946496 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 47779946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76294975680).

47779946496 is an abundant number, since it is smaller than the sum of its proper divisors (104810004864).

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

47779946496 is a wasteful number, since it uses less digits than its factorization.

47779946496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 250 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 47779946496 in words is "forty-seven billion, seven hundred seventy-nine million, nine hundred forty-six thousand, four hundred ninety-six".