Search a number
-
+
132276532500 = 223254717127389
BaseRepresentation
bin111101100110001001…
…0111011010100010100
3110122102120122002010100
41323030102323110110
54131400243020000
6140433401054100
712361635655230
oct1731422732424
9418376562110
10132276532500
1151109721752
1221777187330
13c620721198
14658b9895c0
153692b4ba00
hex1ecc4bb514

132276532500 has 720 divisors, whose sum is σ = 510892462080. Its totient is φ = 28159488000.

The previous prime is 132276532499. The next prime is 132276532511. The reversal of 132276532500 is 5235672231.

132276532500 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 76 + 532 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 340042306 + ... + 340042694.

It is an arithmetic number, because the mean of its divisors is an integer number (709572864).

Almost surely, 2132276532500 is an apocalyptic number.

132276532500 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 132276532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255446231040).

132276532500 is an abundant number, since it is smaller than the sum of its proper divisors (378615929580).

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

132276532500 is a wasteful number, since it uses less digits than its factorization.

132276532500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 132276532500 in words is "one hundred thirty-two billion, two hundred seventy-six million, five hundred thirty-two thousand, five hundred".