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2092431682576 = 2483243572
BaseRepresentation
bin11110011100101110101…
…001011010110000010000
321102000221011100211111001
4132130232221122300100
5233240300002320301
64241125544431344
7304113256562134
oct36345651326020
97360834324431
102092431682576
11737439153aa4
1229963b178554
131224140b6081
14733ba6d73c4
1539667a8cc01
hex1e72ea5ac10

2092431682576 has 45 divisors (see below), whose sum is σ = 4104461324541. Its totient is φ = 1033373601216.

The previous prime is 2092431682559. The next prime is 2092431682619. The reversal of 2092431682576 is 6752861342902.

It is a happy number.

The square root of 2092431682576 is 1446524.

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

It can be written as a sum of positive squares in only one way, i.e., 2090511139600 + 1920542976 = 1445860^2 + 43824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 480243790 + ... + 480248146.

It is a 1-persistent number, because it is pandigital, but 2⋅2092431682576 = 4184863365152 is not.

Almost surely, 22092431682576 is an apocalyptic number.

2092431682576 is the 1446524-th square number.

It is an amenable number.

2092431682576 is a deficient number, since it is larger than the sum of its proper divisors (2012029641965).

2092431682576 is an frugal number, since it uses more digits than its factorization.

2092431682576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 2092431682576 in words is "two trillion, ninety-two billion, four hundred thirty-one million, six hundred eighty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 83 166 332 664 1328 4357 6889 8714 13778 17428 27556 34856 55112 69712 110224 361631 723262 1446524 2893048 5786096 18983449 30015373 37966898 60030746 75933796 120061492 151867592 240122984 303735184 480245968 1575626267 3151252534 6302505068 12605010136 25210020272 130776980161 261553960322 523107920644 1046215841288 2092431682576