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2007065605221 = 32677146879817
BaseRepresentation
bin11101001101001110011…
…011101011010001100101
321002212120212000210012100
4131031032123223101211
5230340432243331341
64134011101242313
7265001646105135
oct35151633532145
97085525023170
102007065605221
11704212234646
12284b96263399
1311735b32a671
146d1dd006ac5
153731d4553b6
hex1d34e6eb465

2007065605221 has 24 divisors (see below), whose sum is σ = 2983806656064. Its totient is φ = 1299508499520.

The previous prime is 2007065605219. The next prime is 2007065605231. The reversal of 2007065605221 is 1225065607002.

2007065605221 is a `hidden beast` number, since 2 + 0 + 0 + 70 + 6 + 5 + 60 + 522 + 1 = 666.

It is not a de Polignac number, because 2007065605221 - 21 = 2007065605219 is a prime.

It is a super-2 number, since 2×20070656052212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007065605231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23397096 + ... + 23482721.

It is an arithmetic number, because the mean of its divisors is an integer number (124325277336).

Almost surely, 22007065605221 is an apocalyptic number.

It is an amenable number.

2007065605221 is a deficient number, since it is larger than the sum of its proper divisors (976741050843).

2007065605221 is a wasteful number, since it uses less digits than its factorization.

2007065605221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46879961 (or 46879958 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 2007065605221 in words is "two trillion, seven billion, sixty-five million, six hundred five thousand, two hundred twenty-one".

Divisors: 1 3 9 67 71 201 213 603 639 4757 14271 42813 46879817 140639451 421918353 3140947739 3328467007 9422843217 9985401021 28268529651 29956203063 223007289469 669021868407 2007065605221