Search a number
-
+
132783862464 = 26371186243
BaseRepresentation
bin111101110101010001…
…0001111001011000000
3110200201221021010000000
41323222202033023000
54133420132044324
6141000003000000
712410336131311
oct1735242171300
9420657233000
10132783862464
115134a035210
1221899069000
13c6a1871726
1465d90cc608
1536c24619c9
hex1eea88f2c0

132783862464 has 224 divisors, whose sum is σ = 431109607680. Its totient is φ = 40237067520.

The previous prime is 132783862451. The next prime is 132783862511. The reversal of 132783862464 is 464268387231.

132783862464 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 8 + 3 + 8 + 624 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 132783862464.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1496527 + ... + 1582769.

Almost surely, 2132783862464 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 132783862464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215554803840).

132783862464 is an abundant number, since it is smaller than the sum of its proper divisors (298325745216).

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

132783862464 is an frugal number, since it uses more digits than its factorization.

132783862464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86287 (or 86259 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 132783862464 in words is "one hundred thirty-two billion, seven hundred eighty-three million, eight hundred sixty-two thousand, four hundred sixty-four".