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480999118681 = 79287792
BaseRepresentation
bin1101111111111011100…
…10000001011101011001
31200222112122200221011101
412333331302001131121
530340041233244211
61004545024231401
746515415023034
oct6777562013531
91628478627141
10480999118681
11175a995100a4
127927976b561
1336486762133
14193cd8da01b
15c7a29725c1
hex6ffdc81759

480999118681 has 9 divisors (see below), whose sum is σ = 487220284341. Its totient is φ = 474856426044.

The previous prime is 480999118669. The next prime is 480999118759. The reversal of 480999118681 is 186811999084.

It is a happy number.

The square root of 480999118681 is 693541.

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

It is a de Polignac number, because none of the positive numbers 2k-480999118681 is a prime.

It is a super-3 number, since 3×4809991186813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480999110681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54785350 + ... + 54794128.

It is an arithmetic number, because the mean of its divisors is an integer number (54135587149).

Almost surely, 2480999118681 is an apocalyptic number.

480999118681 is the 693541-st square number.

480999118681 is the 346771-st centered octagonal number.

It is an amenable number.

480999118681 is a deficient number, since it is larger than the sum of its proper divisors (6221165660).

480999118681 is an frugal number, since it uses more digits than its factorization.

480999118681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17716 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 64.

Multiplying 480999118681 by its sum of digits (64), we get a square (30783943595584 = 55483282).

The spelling of 480999118681 in words is "four hundred eighty billion, nine hundred ninety-nine million, one hundred eighteen thousand, six hundred eighty-one".

Divisors: 1 79 6241 8779 693541 54789739 77070841 6088596439 480999118681