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20219986809 = 321123121392
BaseRepresentation
bin10010110101001101…
…001000001101111001
31221012011110202102100
4102311031020031321
5312402304034214
613142224254013
71314033023601
oct226515101571
957164422370
1020219986809
118636723400
123b03771309
131ba313c349
14d9b5cbc01
157d5222309
hex4b5348379

20219986809 has 81 divisors (see below), whose sum is σ = 33412532517. Its totient is φ = 11773911600.

The previous prime is 20219986733. The next prime is 20219986811. The reversal of 20219986809 is 90868991202.

The square root of 20219986809 is 142197.

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

It is not a de Polignac number, because 20219986809 - 211 = 20219984761 is a prime.

It is a super-2 number, since 2×202199868092 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20219986859) 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 80 ways as a sum of consecutive naturals, for example, 145467462 + ... + 145467600.

Almost surely, 220219986809 is an apocalyptic number.

20219986809 is the 142197-th square number.

20219986809 is the 71099-th centered octagonal number.

It is an amenable number.

20219986809 is a deficient number, since it is larger than the sum of its proper divisors (13192545708).

20219986809 is a wasteful number, since it uses less digits than its factorization.

20219986809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 20219986809 in words is "twenty billion, two hundred nineteen million, nine hundred eighty-six thousand, eight hundred nine".

Divisors: 1 3 9 11 31 33 93 99 121 139 279 341 363 417 961 1023 1089 1251 1529 2883 3069 3751 4309 4587 8649 10571 11253 12927 13761 16819 19321 31713 33759 38781 47399 50457 57963 95139 116281 133579 142197 151371 173889 212531 348843 400737 426591 521389 598951 637593 1046529 1202211 1469369 1564167 1796853 1912779 2337841 4408107 4692501 5390559 6588461 7013523 13224321 16163059 18567481 19765383 21040569 48489177 55702443 59296149 72473071 145467531 167107329 204242291 217419213 612726873 652257639 1838180619 2246665201 6739995603 20219986809