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5460779673 = 3431473
BaseRepresentation
bin1010001010111110…
…01110001010011001
3112002120102100110000
411011133032022121
542140424422143
62301511243213
7252215601306
oct50537161231
915076370400
105460779673
112352516658
121084979509
13690460c9b
1439b3680ad
1521e623bd3
hex1457ce299

5460779673 has 50 divisors (see below), whose sum is σ = 8544846970. Its totient is φ = 3474822240.

The previous prime is 5460779659. The next prime is 5460779677. The reversal of 5460779673 is 3769770645.

5460779673 is a `hidden beast` number, since 546 + 0 + 7 + 7 + 96 + 7 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4787532864 + 673246809 = 69192^2 + 25947^2 .

It is not a de Polignac number, because 5460779673 - 210 = 5460778649 is a prime.

It is a super-2 number, since 2×54607796732 = 59640229274099973858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5460779677) 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 49 ways as a sum of consecutive naturals, for example, 74805165 + ... + 74805237.

Almost surely, 25460779673 is an apocalyptic number.

It is an amenable number.

5460779673 is a deficient number, since it is larger than the sum of its proper divisors (3084067297).

5460779673 is an frugal number, since it uses more digits than its factorization.

5460779673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The square root of 5460779673 is about 73897.0883932513. The cubic root of 5460779673 is about 1760.9683541005.

The spelling of 5460779673 in words is "five billion, four hundred sixty million, seven hundred seventy-nine thousand, six hundred seventy-three".

Divisors: 1 3 9 27 31 73 81 93 219 279 657 837 961 1971 2263 2511 2883 5913 6789 8649 20367 25947 29791 61101 70153 77841 89373 183303 210459 268119 631377 804357 923521 1894131 2174743 2413071 2770563 5682393 6524229 8311689 19572687 24935067 58718061 67417033 74805201 176154183 202251099 606753297 1820259891 5460779673