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319924853161 = 372152872
BaseRepresentation
bin1001010011111010000…
…00011101100110101001
31010120210010001102220121
410221331000131212221
520220201230300121
6402545455523241
732054015245264
oct4517500354651
91116703042817
10319924853161
1111375226a3a1
1252006229521
1324226a85154
14116ad465cdb
1584c6a34141
hex4a7d01d9a9

319924853161 has 9 divisors (see below), whose sum is σ = 328826673399. Its totient is φ = 311257873224.

The previous prime is 319924853117. The next prime is 319924853167. The reversal of 319924853161 is 161358429913.

The square root of 319924853161 is 565619.

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

It can be written as a sum of positive squares in only one way, i.e., 286273152025 + 33651701136 = 535045^2 + 183444^2 .

It is not a de Polignac number, because 319924853161 - 27 = 319924853033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 319924853099 and 319924853108.

It is not an unprimeable number, because it can be changed into a prime (319924853167) 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 8 ways as a sum of consecutive naturals, for example, 20920260 + ... + 20935546.

Almost surely, 2319924853161 is an apocalyptic number.

319924853161 is the 565619-th square number.

319924853161 is the 282810-th centered octagonal number.

It is an amenable number.

319924853161 is a deficient number, since it is larger than the sum of its proper divisors (8901820238).

319924853161 is an frugal number, since it uses more digits than its factorization.

319924853161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30648 (or 15324 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The spelling of 319924853161 in words is "three hundred nineteen billion, nine hundred twenty-four million, eight hundred fifty-three thousand, one hundred sixty-one".

Divisors: 1 37 1369 15287 565619 20927903 233692369 8646617653 319924853161