Search a number
-
+
480646051281 = 33112117669843
BaseRepresentation
bin1101111111010001011…
…11001011010111010001
31200221122001100020202000
412333220233023113101
530333330342120111
61004450012544213
746503600012024
oct6775057132721
91627561306660
10480646051281
11175928190360
127919b482069
133642b573a06
1419398a711bb
15c78197ec56
hex6fe8bcb5d1

480646051281 has 32 divisors (see below), whose sum is σ = 780483325440. Its totient is φ = 289920027600.

The previous prime is 480646051271. The next prime is 480646051339. The reversal of 480646051281 is 182150646084.

It is a happy number.

480646051281 is a `hidden beast` number, since 480 + 6 + 46 + 0 + 5 + 128 + 1 = 666.

It is not a de Polignac number, because 480646051281 - 230 = 479572309457 is a prime.

It is a super-3 number, since 3×4806460512813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (480646051241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3772255 + ... + 3897588.

It is an arithmetic number, because the mean of its divisors is an integer number (24390103920).

Almost surely, 2480646051281 is an apocalyptic number.

It is an amenable number.

480646051281 is a deficient number, since it is larger than the sum of its proper divisors (299837274159).

480646051281 is a wasteful number, since it uses less digits than its factorization.

480646051281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670074 (or 7670068 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 480646051281 in words is "four hundred eighty billion, six hundred forty-six million, fifty-one thousand, two hundred eighty-one".

Divisors: 1 3 9 11 27 33 99 211 297 633 1899 2321 5697 6963 20889 62667 7669843 23009529 69028587 84368273 207085761 253104819 759314457 1618336873 2277943371 4855010619 14565031857 17801705603 43695095571 53405116809 160215350427 480646051281