Search a number
-
+
474744426289 = 7225723832
BaseRepresentation
bin1101110100010001111…
…10010000111100110001
31200101101202101122012121
412322020332100330301
530234234033120124
61002032232354241
746204416020200
oct6721076207461
91611352348177
10474744426289
11173379941131
1278012b45981
13359ca99cc13
1418d98d4d237
15c5387ca2e4
hex6e88f90f31

474744426289 has 27 divisors (see below), whose sum is σ = 555862256427. Its totient is φ = 404282102784.

The previous prime is 474744426263. The next prime is 474744426301. The reversal of 474744426289 is 982624447474.

It is a happy number.

The square root of 474744426289 is 689017.

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., 467384159025 + 7360267264 = 683655^2 + 85792^2 .

It is not a de Polignac number, because 474744426289 - 211 = 474744424241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (474744426209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1239541392 + ... + 1239541774.

Almost surely, 2474744426289 is an apocalyptic number.

474744426289 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

474744426289 is the 689017-th square number.

474744426289 is the 344509-th centered octagonal number.

It is an amenable number.

474744426289 is a deficient number, since it is larger than the sum of its proper divisors (81117830138).

474744426289 is an frugal number, since it uses more digits than its factorization.

474744426289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 647 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 61.

The spelling of 474744426289 in words is "four hundred seventy-four billion, seven hundred forty-four million, four hundred twenty-six thousand, two hundred eighty-nine".

Divisors: 1 7 49 257 383 1799 2681 12593 18767 66049 98431 146689 462343 689017 1026823 3236401 4823119 7187761 25296767 37699073 177077369 263893511 1239541583 1847254577 9688661761 67820632327 474744426289