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2648971008 = 28321767631
BaseRepresentation
bin1001110111100100…
…0001011100000000
320211121111200002100
42131321001130000
520411114033013
61114504350400
7122433611355
oct23571013400
96747450070
102648971008
11113a303142
1261b175400
13332a5ab88
141b1b4c62c
15107855473
hex9de41700

2648971008 has 108 divisors (see below), whose sum is σ = 8087028768. Its totient is φ = 831037440.

The previous prime is 2648970997. The next prime is 2648971033. The reversal of 2648971008 is 8001798462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5353 + ... + 72983.

It is an arithmetic number, because the mean of its divisors is an integer number (74879896).

Almost surely, 22648971008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648971008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043514384).

2648971008 is an abundant number, since it is smaller than the sum of its proper divisors (5438057760).

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

2648971008 is a wasteful number, since it uses less digits than its factorization.

2648971008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67670 (or 67653 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2648971008 is about 51468.1552807170. The cubic root of 2648971008 is about 1383.6483675720.

The spelling of 2648971008 in words is "two billion, six hundred forty-eight million, nine hundred seventy-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 9792 13056 19584 39168 67631 135262 202893 270524 405786 541048 608679 811572 1082096 1149727 1217358 1623144 2164192 2299454 2434716 3246288 3449181 4328384 4598908 4869432 6492576 6898362 8656768 9197816 9738864 10347543 12985152 13796724 17313536 18395632 19477728 20695086 25970304 27593448 36791264 38955456 41390172 51940608 55186896 73582528 77910912 82780344 110373792 147165056 155821824 165560688 220747584 294330112 331121376 441495168 662242752 882990336 1324485504 2648971008