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20552376321 = 341729372
BaseRepresentation
bin10011001001000001…
…000110000000000001
31222001022220220010000
4103021001012000001
5314042402020241
613235220430213
71325210213331
oct231101060001
958038826100
1020552376321
11879730a584
123b96b48369
131c26c6a929
14dcd7d30c1
158044cceb6
hex4c9046001

20552376321 has 45 divisors (see below), whose sum is σ = 32648758329. Its totient is φ = 12881846016.

The previous prime is 20552376301. The next prime is 20552376349. The reversal of 20552376321 is 12367325502.

The square root of 20552376321 is 143361.

It is a perfect power (a square), and thus also a powerful number.

20552376321 is a `hidden beast` number, since 2 + 0 + 552 + 3 + 76 + 32 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1342416321 + 19209960000 = 36639^2 + 138600^2 .

It is not a de Polignac number, because 20552376321 - 219 = 20551852033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20552376301) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21933765 + ... + 21934701.

Almost surely, 220552376321 is an apocalyptic number.

20552376321 is the 143361-st square number.

20552376321 is the 71681-st centered octagonal number.

It is an amenable number.

20552376321 is a deficient number, since it is larger than the sum of its proper divisors (12096382008).

20552376321 is an frugal number, since it uses more digits than its factorization.

20552376321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Multiplying 20552376321 by its sum of digits (36), we get a square (739885547556 = 8601662).

The spelling of 20552376321 in words is "twenty billion, five hundred fifty-two million, three hundred seventy-six thousand, three hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 937 1377 2601 2811 7803 8433 15929 23409 25299 47787 75897 143361 270793 430083 812379 877969 1290249 2437137 2633907 7311411 7901721 14925473 21934233 23705163 44776419 71115489 134329257 253733041 402987771 761199123 1208963313 2283597369 6850792107 20552376321