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132975950064 = 24322871211339
BaseRepresentation
bin111101111010111111…
…0111111100011110000
3110201020022201011122120
41323311332333203300
54134313320400224
6141031024034240
712415160632416
oct1736576774360
9421208634576
10132975950064
11514385034a1
1221931462980
13c7025b8429
1466168112b6
1536d4256779
hex1ef5fbf8f0

132975950064 has 40 divisors (see below), whose sum is σ = 343671694080. Its totient is φ = 44305898688.

The previous prime is 132975950057. The next prime is 132975950147. The reversal of 132975950064 is 460059579231.

132975950064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132975949989 and 132975950016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495894 + ... + 715445.

It is an arithmetic number, because the mean of its divisors is an integer number (8591792352).

Almost surely, 2132975950064 is an apocalyptic number.

It is an amenable number.

132975950064 is an abundant number, since it is smaller than the sum of its proper divisors (210695744016).

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

132975950064 is a wasteful number, since it uses less digits than its factorization.

132975950064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213637 (or 1213631 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 132975950064 in words is "one hundred thirty-two billion, nine hundred seventy-five million, nine hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2287 4574 6861 9148 13722 18296 27444 36592 54888 109776 1211339 2422678 3634017 4845356 7268034 9690712 14536068 19381424 29072136 58144272 2770332293 5540664586 8310996879 11081329172 16621993758 22162658344 33243987516 44325316688 66487975032 132975950064