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201071501064 = 23337132983797
BaseRepresentation
bin1011101101000011001…
…0111001111100001000
3201020000000111120122000
42323100302321330020
511243243301013224
6232212044031000
720345511362550
oct2732062717410
9636000446560
10201071501064
1178301690875
1232b76532460
1315c65302185
149a36522160
15536c57b0c9
hex2ed0cb9f08

201071501064 has 64 divisors (see below), whose sum is σ = 638322230400. Its totient is φ = 57448999872.

The previous prime is 201071501063. The next prime is 201071501087. The reversal of 201071501064 is 460105170102.

It is a happy number.

201071501064 is a `hidden beast` number, since 20 + 10 + 71 + 501 + 0 + 64 = 666.

201071501064 is digitally balanced in base 2, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (201071501063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66490387 + ... + 66493410.

It is an arithmetic number, because the mean of its divisors is an integer number (9973784850).

Almost surely, 2201071501064 is an apocalyptic number.

201071501064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201071501064 is an abundant number, since it is smaller than the sum of its proper divisors (437250729336).

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

201071501064 is a wasteful number, since it uses less digits than its factorization.

201071501064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132983819 (or 132983809 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 201071501064 its reverse (460105170102), we get a palindrome (661176671166).

The spelling of 201071501064 in words is "two hundred one billion, seventy-one million, five hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 132983797 265967594 398951391 531935188 797902782 930886579 1063870376 1196854173 1595805564 1861773158 2393708346 2792659737 3191611128 3590562519 3723546316 4787416692 5585319474 7181125038 7447092632 8377979211 9574833384 11170638948 14362250076 16755958422 22341277896 25133937633 28724500152 33511916844 50267875266 67023833688 100535750532 201071501064