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19056974209 = 72132372412
BaseRepresentation
bin10001101111111000…
…100101100110000001
31211012010001121001121
4101233320211212001
5303012041133314
612431001032241
71243151415400
oct215770454601
954163047047
1019056974209
11809a18a869
12383a185681
131a491c8400
14ccad69637
15768090d24
hex46fe25981

19056974209 has 81 divisors (see below), whose sum is σ = 25287466491. Its totient is φ = 14312712960.

The previous prime is 19056974117. The next prime is 19056974263. The reversal of 19056974209 is 90247965091.

The square root of 19056974209 is 138047.

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

It can be written as a sum of positive squares in 13 ways, for example, as 17542207809 + 1514766400 = 132447^2 + 38920^2 .

It is not a de Polignac number, because 19056974209 - 215 = 19056941441 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (19056975209) 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, 464804229 + ... + 464804269.

Almost surely, 219056974209 is an apocalyptic number.

19056974209 is the 138047-th square number.

19056974209 is the 69024-th centered octagonal number.

It is an amenable number.

19056974209 is a deficient number, since it is larger than the sum of its proper divisors (6230492282).

19056974209 is an equidigital number, since it uses as much as digits as its factorization.

19056974209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 19056974209 in words is "nineteen billion, fifty-six million, nine hundred seventy-four thousand, two hundred nine".

Divisors: 1 7 13 37 41 49 91 169 259 287 481 533 637 1183 1369 1517 1681 1813 2009 3367 3731 6253 6929 8281 9583 10619 11767 17797 19721 21853 23569 26117 43771 48503 56129 62197 67081 74333 82369 124579 138047 152971 231361 256373 284089 306397 339521 392903 435379 729677 808561 872053 966329 1070797 1619527 1794611 1988623 2301289 2750321 3047653 5107739 5659927 9485801 10511293 11336689 12562277 13920361 16109023 29916757 35754173 39619489 66400607 73579051 112763161 209417299 388917841 464804249 515053357 1465921093 2722424887 19056974209