Search a number
-
+
132436282368 = 2103135956207
BaseRepresentation
bin111101101010111010…
…0010100110000000000
3110122211201020012202010
41323111310110300000
54132212142013433
6140501305052520
712365615553255
oct1732564246000
9418751205663
10132436282368
1151190913135
1221800787140
13c647854b30
1465a4c9142c
1536a1ba4e63
hex1ed5d14c00

132436282368 has 176 divisors, whose sum is σ = 386594127360. Its totient is φ = 40058241024.

The previous prime is 132436282343. The next prime is 132436282409. The reversal of 132436282368 is 863282634231.

132436282368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2328121 + ... + 2384327.

Almost surely, 2132436282368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132436282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193297063680).

132436282368 is an abundant number, since it is smaller than the sum of its proper divisors (254157844992).

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

132436282368 is a wasteful number, since it uses less digits than its factorization.

132436282368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56302 (or 56284 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 132436282368 in words is "one hundred thirty-two billion, four hundred thirty-six million, two hundred eighty-two thousand, three hundred sixty-eight".