Search a number
-
+
132183539712 = 2143771731
BaseRepresentation
bin111101100011011000…
…0001100000000000000
3110122012002122120000000
41323012300030000000
54131202441232322
6140420240000000
712356426356230
oct1730660140000
9418162576000
10132183539712
1151071186904
1221750000000
13c607391c73
14657d49dcc0
1536898cd3ac
hex1ec6c0c000

132183539712 has 960 divisors, whose sum is σ = 495248302080. Its totient is φ = 34398535680.

The previous prime is 132183539659. The next prime is 132183539717. The reversal of 132183539712 is 217935381231.

132183539712 is a `hidden beast` number, since 1 + 3 + 21 + 83 + 539 + 7 + 12 = 666.

Its product of digits (272160) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (132183539717) 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, 4263985137 + ... + 4263985167.

It is an arithmetic number, because the mean of its divisors is an integer number (515883648).

Almost surely, 2132183539712 is an apocalyptic number.

132183539712 is a gapful number since it is divisible by the number (12) 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 132183539712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247624151040).

132183539712 is an abundant number, since it is smaller than the sum of its proper divisors (363064762368).

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

132183539712 is an frugal number, since it uses more digits than its factorization.

132183539712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 132183539712 in words is "one hundred thirty-two billion, one hundred eighty-three million, five hundred thirty-nine thousand, seven hundred twelve".