Search a number
-
+
132500705920 = 27511313761269
BaseRepresentation
bin111101101100110101…
…0000101001010000000
3110200000012110021020121
41323121222011022000
54132330140042140
6140511525550024
712400330263112
oct1733152051200
9420005407217
10132500705920
1151214215540
122181a275314
13c657cc038b
1465ad6613b2
1536a767d64a
hex1ed9a85280

132500705920 has 512 divisors, whose sum is σ = 373733222400. Its totient is φ = 44457984000.

The previous prime is 132500705917. The next prime is 132500705921. The reversal of 132500705920 is 29507005231.

It is not an unprimeable number, because it can be changed into a prime (132500705921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 492567546 + ... + 492567814.

It is an arithmetic number, because the mean of its divisors is an integer number (729947700).

Almost surely, 2132500705920 is an apocalyptic number.

132500705920 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 132500705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186866611200).

132500705920 is an abundant number, since it is smaller than the sum of its proper divisors (241232516480).

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

132500705920 is a wasteful number, since it uses less digits than its factorization.

132500705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 132500705920 in words is "one hundred thirty-two billion, five hundred million, seven hundred five thousand, nine hundred twenty".