Search a number
-
+
132430670064 = 243474115373
BaseRepresentation
bin111101101010101111…
…0111010100011110000
3110122211022200002010000
41323111132322203300
54132204222420224
6140500544510000
712365520060000
oct1732536724360
9418738602100
10132430670064
115118872a570
12217ba91b300
13c64663b444
1465a4230000
1536a14470c9
hex1ed57ba8f0

132430670064 has 1000 divisors, whose sum is σ = 503810133552. Its totient is φ = 33286256640.

The previous prime is 132430670033. The next prime is 132430670081. The reversal of 132430670064 is 460076034231.

It is a happy number.

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 199 ways as a sum of consecutive naturals, for example, 1814118732 + ... + 1814118804.

Almost surely, 2132430670064 is an apocalyptic number.

132430670064 is a gapful number since it is divisible by the number (14) 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 132430670064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251905066776).

132430670064 is an abundant number, since it is smaller than the sum of its proper divisors (371379463488).

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

132430670064 is an equidigital number, since it uses as much as digits as its factorization.

132430670064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 132430670064 in words is "one hundred thirty-two billion, four hundred thirty million, six hundred seventy thousand, sixty-four".