Search a number
-
+
132433101520 = 2456732459753
BaseRepresentation
bin111101101010110100…
…0001100001011010000
3110122211111020121102221
41323111220030023100
54132210333222040
6140501112550424
712365546534536
oct1732550141320
9418744217387
10132433101520
115118a040335
12217bb6b2414
13c646cb0085
1465a46a4156
1536a177774a
hex1ed5a0c2d0

132433101520 has 40 divisors (see below), whose sum is σ = 308364600456. Its totient is φ = 52894507008.

The previous prime is 132433101509. The next prime is 132433101569. The reversal of 132433101520 is 25101334231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1157776 + 132431943744 = 1076^2 + 363912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1324331015203 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1176037 + ... + 1283716.

Almost surely, 2132433101520 is an apocalyptic number.

132433101520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132433101520 is an abundant number, since it is smaller than the sum of its proper divisors (175931498936).

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

132433101520 is a wasteful number, since it uses less digits than its factorization.

132433101520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460439 (or 2460433 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 132433101520 its reverse (25101334231), we get a palindrome (157534435751).

The spelling of 132433101520 in words is "one hundred thirty-two billion, four hundred thirty-three million, one hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 673 1346 2692 3365 5384 6730 10768 13460 26920 53840 2459753 4919506 9839012 12298765 19678024 24597530 39356048 49195060 98390120 196780240 1655413769 3310827538 6621655076 8277068845 13243310152 16554137690 26486620304 33108275380 66216550760 132433101520