Search a number
-
+
132037568208 = 243371313125639
BaseRepresentation
bin111101011111000001…
…1010110011011010000
3110121210220222102202000
41322332003112123100
54130403104140313
6140353543154000
712353004545310
oct1727603263320
9417726872660
10132037568208
1150aa68462a7
122170b145900
13c5b30738b0
146567d43440
15367bb97673
hex1ebe0d66d0

132037568208 has 320 divisors, whose sum is σ = 470036582400. Its totient is φ = 34555921920.

The previous prime is 132037568177. The next prime is 132037568291. The reversal of 132037568208 is 802865730231.

132037568208 is a `hidden beast` number, since 1 + 32 + 0 + 37 + 568 + 20 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5137053 + ... + 5162691.

It is an arithmetic number, because the mean of its divisors is an integer number (1468864320).

Almost surely, 2132037568208 is an apocalyptic number.

132037568208 is a gapful number since it is divisible by the number (18) 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 132037568208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235018291200).

132037568208 is an abundant number, since it is smaller than the sum of its proper divisors (337999014192).

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

132037568208 is a wasteful number, since it uses less digits than its factorization.

132037568208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25807 (or 25795 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 132037568208 in words is "one hundred thirty-two billion, thirty-seven million, five hundred sixty-eight thousand, two hundred eight".