Search a number
-
+
27731380656 = 24372127263353
BaseRepresentation
bin11001110100111010…
…110100100110110000
32122120122111002200110
4121310322310212300
5423243213140111
620423431421320
72001131563200
oct316472644660
978518432613
1027731380656
1110840706811
12545b224840
1327cc3894a5
1414b1028400
15ac48a55a6
hex674eb49b0

27731380656 has 240 divisors, whose sum is σ = 84550017024. Its totient is φ = 7808790528.

The previous prime is 27731380643. The next prime is 27731380657. The reversal of 27731380656 is 65608313772.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27731380657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78558976 + ... + 78559328.

Almost surely, 227731380656 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 27731380656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42275008512).

27731380656 is an abundant number, since it is smaller than the sum of its proper divisors (56818636368).

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

27731380656 is a wasteful number, since it uses less digits than its factorization.

27731380656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 27731380656 in words is "twenty-seven billion, seven hundred thirty-one million, three hundred eighty thousand, six hundred fifty-six".