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20363575401 = 3213236592
BaseRepresentation
bin10010111101110000…
…111000000001101001
31221120011122210221100
4102331300320001221
5313201033403101
613204354032013
71320425351331
oct227560700151
957504583840
1020363575401
1186aa786664
123b43878609
131bc6b04c00
14db26c80c1
157e2b36e86
hex4bdc38069

20363575401 has 27 divisors (see below), whose sum is σ = 31859427639. Its totient is φ = 12528006192.

The previous prime is 20363575363. The next prime is 20363575429. The reversal of 20363575401 is 10457536302.

The square root of 20363575401 is 142701.

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

20363575401 is a `hidden beast` number, since 2 + 0 + 3 + 63 + 57 + 540 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3012363225 + 17351212176 = 54885^2 + 131724^2 .

It is not a de Polignac number, because 20363575401 - 213 = 20363567209 is a prime.

It is a super-2 number, since 2×203635754012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20363575201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5563510 + ... + 5567168.

Almost surely, 220363575401 is an apocalyptic number.

20363575401 is the 142701-st square number.

20363575401 is the 71351-st centered octagonal number.

It is an amenable number.

20363575401 is a deficient number, since it is larger than the sum of its proper divisors (11495852238).

20363575401 is an frugal number, since it uses more digits than its factorization.

20363575401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7350 (or 3675 counting only the distinct ones).

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

Multiplying 20363575401 by its sum of digits (36), we get a square (733088714436 = 8562062).

The spelling of 20363575401 in words is "twenty billion, three hundred sixty-three million, five hundred seventy-five thousand, four hundred one".

Divisors: 1 3 9 13 39 117 169 507 1521 3659 10977 32931 47567 142701 428103 618371 1855113 5565339 13388281 40164843 120494529 174047653 522142959 1566428877 2262619489 6787858467 20363575401