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919475785449 = 3213223210692
BaseRepresentation
bin11010110000101010000…
…01110000111011101001
310020220022211220111022100
431120111001300323221
5110031041300113244
61542222405044013
7123300316136064
oct15302501607351
93226284814270
10919475785449
11324a47123751
1212a24a6b6609
1368924681100
1432707c118db
1518db7249b69
hexd615070ee9

919475785449 has 81 divisors (see below), whose sum is σ = 1504809193797. Its totient is φ = 540723598272.

The previous prime is 919475785439. The next prime is 919475785451. The reversal of 919475785449 is 944587574919.

The square root of 919475785449 is 958893.

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

919475785449 is a `hidden beast` number, since 9 + 1 + 9 + 4 + 7 + 5 + 78 + 544 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 154956386025 + 764519399424 = 393645^2 + 874368^2 .

It is not a de Polignac number, because 919475785449 - 213 = 919475777257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (919475785439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 860126487 + ... + 860127555.

Almost surely, 2919475785449 is an apocalyptic number.

919475785449 is the 958893-rd square number.

919475785449 is the 479447-th centered octagonal number.

It is an amenable number.

919475785449 is a deficient number, since it is larger than the sum of its proper divisors (585333408348).

919475785449 is a wasteful number, since it uses less digits than its factorization.

919475785449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 1108 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 919475785449 in words is "nine hundred nineteen billion, four hundred seventy-five million, seven hundred eighty-five thousand, four hundred forty-nine".

Divisors: 1 3 9 13 23 39 69 117 169 207 299 507 529 897 1069 1521 1587 2691 3207 3887 4761 6877 9621 11661 13897 20631 24587 34983 41691 61893 73761 89401 125073 180661 221283 268203 319631 541983 565501 804609 958893 1142761 1625949 1696503 2876679 3428283 4155203 5089509 7351513 10284849 12465609 14855893 22054539 26283503 37396827 44567679 66163617 78850509 95569669 133703037 193126609 236551527 286709007 341685539 579379827 604520569 860127021 1025056617 1738139481 1813561707 3075169851 4441912007 5440685121 7858767397 13325736021 23576302191 39977208063 70728906573 102163976161 306491928483 919475785449