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6534868000 = 25531725653
BaseRepresentation
bin1100001011000001…
…00010110000100000
3121212102111200122011
412011200202300200
5101340411234000
63000240522304
7320640314203
oct60540426040
917772450564
106534868000
112853843061
121324620394
13801b3b7cb
1445dc7d93a
15283a8c2ba
hex185822c20

6534868000 has 144 divisors (see below), whose sum is σ = 17059226184. Its totient is φ = 2459750400.

The previous prime is 6534867979. The next prime is 6534868003. The reversal of 6534868000 is 8684356.

It can be written as a sum of positive squares in 12 ways, for example, as 349989264 + 6184878736 = 18708^2 + 78644^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6534868003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1153174 + ... + 1158826.

Almost surely, 26534868000 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 6534868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8529613092).

6534868000 is an abundant number, since it is smaller than the sum of its proper divisors (10524358184).

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

6534868000 is a wasteful number, since it uses less digits than its factorization.

6534868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 6534868000 is about 80838.5304171223. The cubic root of 6534868000 is about 1869.5866855139.

The spelling of 6534868000 in words is "six billion, five hundred thirty-four million, eight hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 289 340 400 425 500 544 578 680 800 850 1000 1156 1360 1445 1700 2000 2125 2312 2720 2890 3400 4000 4250 4624 5653 5780 6800 7225 8500 9248 11306 11560 13600 14450 17000 22612 23120 28265 28900 34000 36125 45224 46240 56530 57800 68000 72250 90448 96101 113060 115600 141325 144500 180896 192202 226120 231200 282650 289000 384404 452240 480505 565300 578000 706625 768808 904480 961010 1130600 1156000 1413250 1537616 1633717 1922020 2261200 2402525 2826500 3075232 3267434 3844040 4522400 4805050 5653000 6534868 7688080 8168585 9610100 11306000 12012625 13069736 15376160 16337170 19220200 22612000 24025250 26139472 32674340 38440400 40842925 48050500 52278944 65348680 76880800 81685850 96101000 130697360 163371700 192202000 204214625 261394720 326743400 384404000 408429250 653486800 816858500 1306973600 1633717000 3267434000 6534868000