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4923259820964 = 22341232692
BaseRepresentation
bin100011110100100100100…
…1001110001101110100100
3122102122210102221010010000
41013221021021301232210
51121130314003232324
614245414144101300
71015456653000552
oct107511111615644
918378712833100
104923259820964
111628a409021a1
126761b1904830
132993524145c4
14130403928bd2
15880ea51a9c9
hex47a49271ba4

4923259820964 has 45 divisors (see below), whose sum is σ = 12870478077457. Its totient is φ = 1641073293936.

The previous prime is 4923259820959. The next prime is 4923259821019. The reversal of 4923259820964 is 4690289523294.

The square root of 4923259820964 is 2218842.

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

4923259820964 is a `hidden beast` number, since 4 + 9 + 2 + 32 + 598 + 2 + 0 + 9 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3587016299364 + 1336243521600 = 1893942^2 + 1155960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 39877522 + ... + 40000790.

Almost surely, 24923259820964 is an apocalyptic number.

4923259820964 is the 2218842-nd square number.

It is an amenable number.

4923259820964 is an abundant number, since it is smaller than the sum of its proper divisors (7947218256493).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4923259820964 is an frugal number, since it uses more digits than its factorization.

4923259820964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246554 (or 123274 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 4923259820964 in words is "four trillion, nine hundred twenty-three billion, two hundred fifty-nine million, eight hundred twenty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 123269 246538 369807 493076 739614 1109421 1479228 2218842 3328263 4437684 6656526 9984789 13313052 19969578 39939156 15195246361 30390492722 45585739083 60780985444 91171478166 136757217249 182342956332 273514434498 410271651747 547028868996 820543303494 1230814955241 1641086606988 2461629910482 4923259820964