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460468865061 = 32251203837479
BaseRepresentation
bin1101011001101100001…
…01010100100000100101
31122000112212101222200200
412230312011110200211
530021020012140221
6551311513501113
745160563526152
oct6546605244045
91560485358620
10460468865061
11168313740747
12752aa111799
133456426bb7a
1418403025229
15bea03b4426
hex6b36154825

460468865061 has 12 divisors (see below), whose sum is σ = 667771584480. Its totient is φ = 305756217000.

The previous prime is 460468865047. The next prime is 460468865107. The reversal of 460468865061 is 160568864064.

460468865061 is a `hidden beast` number, since 4 + 60 + 468 + 8 + 65 + 0 + 61 = 666.

It is not a de Polignac number, because 460468865061 - 214 = 460468848677 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 460468864989 and 460468865007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460468865041) 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 11 ways as a sum of consecutive naturals, for example, 101916481 + ... + 101920998.

It is an arithmetic number, because the mean of its divisors is an integer number (55647632040).

Almost surely, 2460468865061 is an apocalyptic number.

It is an amenable number.

460468865061 is a deficient number, since it is larger than the sum of its proper divisors (207302719419).

460468865061 is a wasteful number, since it uses less digits than its factorization.

460468865061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203837736 (or 203837733 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 460468865061 in words is "four hundred sixty billion, four hundred sixty-eight million, eight hundred sixty-five thousand, sixty-one".

Divisors: 1 3 9 251 753 2259 203837479 611512437 1834537311 51163207229 153489621687 460468865061