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474160319649 = 3289225792
BaseRepresentation
bin1101110011001100010…
…10000100110010100001
31200022220001021221112100
412321212022010302201
530232040020212044
61001454245121013
746154064134322
oct6714612046241
91608801257470
10474160319649
111730aa159175
1277a8b3b9169
133593697a4a3
1418d41542449
15c50239b869
hex6e66284ca1

474160319649 has 27 divisors (see below), whose sum is σ = 692948880403. Its totient is φ = 312433924704.

The previous prime is 474160319629. The next prime is 474160319663. The reversal of 474160319649 is 946913061474.

The square root of 474160319649 is 688593.

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

474160319649 is a `hidden beast` number, since 474 + 16 + 0 + 31 + 96 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91048838049 + 383111481600 = 301743^2 + 618960^2 .

It is a de Polignac number, because none of the positive numbers 2k-474160319649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 474160319595 and 474160319604.

It is not an unprimeable number, because it can be changed into a prime (474160319609) 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 26 ways as a sum of consecutive naturals, for example, 183853042 + ... + 183855620.

Almost surely, 2474160319649 is an apocalyptic number.

474160319649 is the 688593-rd square number.

474160319649 is the 344297-th centered octagonal number.

It is an amenable number.

474160319649 is a deficient number, since it is larger than the sum of its proper divisors (218788560754).

474160319649 is an frugal number, since it uses more digits than its factorization.

474160319649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 474160319649 in words is "four hundred seventy-four billion, one hundred sixty million, three hundred nineteen thousand, six hundred forty-nine".

Divisors: 1 3 9 89 267 801 2579 7737 7921 23211 23763 71289 229531 688593 2065779 6651241 19953723 20428259 59861169 61284777 183854331 591960449 1775881347 5327644041 52684479961 158053439883 474160319649