Search a number
-
+
132690636000 = 2535531310501
BaseRepresentation
bin111101110010011111…
…0100110110011100000
3110200111102211201100000
41323210332212303200
54133222300323000
6140542432500000
712405124540116
oct1734476466340
9420442751300
10132690636000
115130144a84a
12218719aa600
13c688460040
1465ca981ab6
1536b9199000
hex1ee4fa6ce0

132690636000 has 576 divisors, whose sum is σ = 525976790976. Its totient is φ = 32659200000.

The previous prime is 132690635999. The next prime is 132690636011. The reversal of 132690636000 is 636096231.

132690636000 is a `hidden beast` number, since 13 + 2 + 6 + 9 + 0 + 636 + 0 + 0 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12630750 + ... + 12641250.

It is an arithmetic number, because the mean of its divisors is an integer number (913154151).

Almost surely, 2132690636000 is an apocalyptic number.

132690636000 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 132690636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262988395488).

132690636000 is an abundant number, since it is smaller than the sum of its proper divisors (393286154976).

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

132690636000 is a wasteful number, since it uses less digits than its factorization.

132690636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10554 (or 10524 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 132690636000 in words is "one hundred thirty-two billion, six hundred ninety million, six hundred thirty-six thousand".