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20705166993 = 374160140013
BaseRepresentation
bin10011010010000111…
…111100011010010001
31222102222102110111210
4103102013330122101
5314401010320433
613302315330333
71332044005230
oct232207743221
958388373453
1020705166993
118865588465
12401a1509a9
131c4c805b04
141005c06b17
15812b0e463
hex4d21fc691

20705166993 has 32 divisors (see below), whose sum is σ = 32374847232. Its totient is φ = 11523456000.

The previous prime is 20705166971. The next prime is 20705167009. The reversal of 20705166993 is 39966150702.

It is not a de Polignac number, because 20705166993 - 217 = 20705035921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20705166893) 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 31 ways as a sum of consecutive naturals, for example, 497455 + ... + 537467.

It is an arithmetic number, because the mean of its divisors is an integer number (1011713976).

Almost surely, 220705166993 is an apocalyptic number.

It is an amenable number.

20705166993 is a deficient number, since it is larger than the sum of its proper divisors (11669680239).

20705166993 is a wasteful number, since it uses less digits than its factorization.

20705166993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40665.

The product of its (nonzero) digits is 612360, while the sum is 48.

The spelling of 20705166993 in words is "twenty billion, seven hundred five million, one hundred sixty-six thousand, nine hundred ninety-three".

Divisors: 1 3 7 21 41 123 287 601 861 1803 4207 12621 24641 40013 73923 120039 172487 280091 517461 840273 1640533 4921599 11483731 24047813 34451193 72143439 168334691 505004073 985960333 2957880999 6901722331 20705166993