Search a number
-
+
132737482000116 = 223272192223934723
BaseRepresentation
bin11110001011100101011010…
…011101101000011011110100
3122101222120122100100102111100
4132023211122131220123310
5114344232330343000431
61150150431333410100
736646652354606400
oct3613453235503364
9571876570312440
10132737482000116
1139326717148104
1212a794b6199930
13590b124776686
1424ac757d46100
151052c170314e6
hex78b95a7686f4

132737482000116 has 324 divisors, whose sum is σ = 413782992185472. Its totient is φ = 35767787896512.

The previous prime is 132737482000091. The next prime is 132737482000127. The reversal of 132737482000116 is 611000284737231.

132737482000116 is a `hidden beast` number, since 1 + 3 + 27 + 37 + 482 + 0 + 0 + 0 + 116 = 666.

It is a super-2 number, since 2×1327374820001162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 141539931 + ... + 142474653.

Almost surely, 2132737482000116 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 132737482000116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206891496092736).

132737482000116 is an abundant number, since it is smaller than the sum of its proper divisors (281045510185356).

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

132737482000116 is a wasteful number, since it uses less digits than its factorization.

132737482000116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935008 (or 934977 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 132737482000116 in words is "one hundred thirty-two trillion, seven hundred thirty-seven billion, four hundred eighty-two million, one hundred sixteen", and thus it is an aban number.