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3057052924249 = 612286632
BaseRepresentation
bin101100011111000110100…
…011011011100101011001
3101211020210021102010021121
4230133012203123211121
5400041321022033444
610300220221405241
7433602423053152
oct54370643334531
911736707363247
103057052924249
11a79541751145
12414588a09821
13192381845c8c
14a7d681dc929
15547c33a9084
hex2c7c68db959

3057052924249 has 9 divisors (see below), whose sum is σ = 3108098549439. Its totient is φ = 3006832395960.

The previous prime is 3057052924241. The next prime is 3057052924297. The reversal of 3057052924249 is 9424292507503.

The square root of 3057052924249 is 1748443.

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., 99409675849 + 2957643248400 = 315293^2 + 1719780^2 .

It is not a de Polignac number, because 3057052924249 - 23 = 3057052924241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3057052924196 and 3057052924205.

It is not an unprimeable number, because it can be changed into a prime (3057052924241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 106640692 + ... + 106669354.

It is an arithmetic number, because the mean of its divisors is an integer number (345344283271).

Almost surely, 23057052924249 is an apocalyptic number.

3057052924249 is the 1748443-rd square number.

3057052924249 is the 874222-nd centered octagonal number.

It is an amenable number.

3057052924249 is a deficient number, since it is larger than the sum of its proper divisors (51045625190).

3057052924249 is an frugal number, since it uses more digits than its factorization.

3057052924249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57448 (or 28724 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 3057052924249 in words is "three trillion, fifty-seven billion, fifty-two million, nine hundred twenty-four thousand, two hundred forty-nine".

Divisors: 1 61 3721 28663 1748443 106655023 821567569 50115621709 3057052924249