Search a number
-
+
132674280480 = 2534571786027
BaseRepresentation
bin111101110010000000…
…0001101110000100000
3110200110022001202210000
41323210000031300200
54133204103433410
6140541050140000
712404535530310
oct1734400156040
9420408052700
10132674280480
11512a3199695
1221868421600
13c684c54711
1465c8725440
1536b7a17dc0
hex1ee400dc20

132674280480 has 480 divisors, whose sum is σ = 566603807616. Its totient is φ = 28541362176.

The previous prime is 132674280443. The next prime is 132674280527. The reversal of 132674280480 is 84082476231.

It is a happy number.

132674280480 is a `hidden beast` number, since 1 + 3 + 26 + 74 + 2 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1499227 + ... + 1585253.

Almost surely, 2132674280480 is an apocalyptic number.

132674280480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132674280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283301903808).

132674280480 is an abundant number, since it is smaller than the sum of its proper divisors (433929527136).

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

132674280480 is a wasteful number, since it uses less digits than its factorization.

132674280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86078 (or 86061 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 132674280480 in words is "one hundred thirty-two billion, six hundred seventy-four million, two hundred eighty thousand, four hundred eighty".