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20720974617 = 3272371269901
BaseRepresentation
bin10011010011000100…
…001111101100011001
31222111002011120111100
4103103010033230121
5314414032141432
613304042222013
71332325243500
oct232304175431
958432146440
1020720974617
1188734a4a12
1240234b4909
131c52b7bc35
141007d5d837
158141d307c
hex4d310fb19

20720974617 has 36 divisors (see below), whose sum is σ = 35757900516. Its totient is φ = 11520532800.

The previous prime is 20720974601. The next prime is 20720974657. The reversal of 20720974617 is 71647902702.

20720974617 is a `hidden beast` number, since 2 + 0 + 7 + 20 + 9 + 7 + 4 + 617 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19861546761 + 859427856 = 140931^2 + 29316^2 .

It is not a de Polignac number, because 20720974617 - 24 = 20720974601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20720974657) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 618634 + ... + 651267.

Almost surely, 220720974617 is an apocalyptic number.

It is an amenable number.

20720974617 is a deficient number, since it is larger than the sum of its proper divisors (15036925899).

20720974617 is a wasteful number, since it uses less digits than its factorization.

20720974617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269958 (or 1269948 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 20720974617 in words is "twenty billion, seven hundred twenty million, nine hundred seventy-four thousand, six hundred seventeen".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 441 777 1813 2331 5439 16317 1269901 3809703 8889307 11429109 26667921 46986337 62225149 80003763 140959011 186675447 328904359 422877033 560026341 986713077 2302330513 2960139231 6906991539 20720974617