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20575946320 = 2451097234457
BaseRepresentation
bin10011001010011011…
…000000011001010000
31222002222021101001221
4103022123000121100
5314114420240240
613241421534424
71325614441456
oct231233003120
958088241057
1020575946320
1187a9649016
123ba2a14414
131c2bb00c87
14dd29aa9d6
158065d6a4a
hex4ca6c0650

20575946320 has 40 divisors (see below), whose sum is σ = 47882888424. Its totient is φ = 8222840832.

The previous prime is 20575946291. The next prime is 20575946323. The reversal of 20575946320 is 2364957502.

It can be written as a sum of positive squares in 4 ways, for example, as 43349056 + 20532597264 = 6584^2 + 143292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20575946323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29469 + ... + 204988.

Almost surely, 220575946320 is an apocalyptic number.

20575946320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20575946320 is an abundant number, since it is smaller than the sum of its proper divisors (27306942104).

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

20575946320 is a wasteful number, since it uses less digits than its factorization.

20575946320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235567 (or 235561 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 20575946320 in words is "twenty billion, five hundred seventy-five million, nine hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1097 2194 4388 5485 8776 10970 17552 21940 43880 87760 234457 468914 937828 1172285 1875656 2344570 3751312 4689140 9378280 18756560 257199329 514398658 1028797316 1285996645 2057594632 2571993290 4115189264 5143986580 10287973160 20575946320