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6825156240 = 2435731113063
BaseRepresentation
bin1100101101100111…
…11001111010010000
3122121122201212020110
412112303321322100
5102434214444430
63045130441320
7331063604460
oct62663717220
918548655213
106825156240
1129926939a1
1213a5893240
1384a018cb6
1448a645ba0
1529e2cd7b0
hex196cf9e90

6825156240 has 160 divisors (see below), whose sum is σ = 24260161536. Its totient is φ = 1554900480.

The previous prime is 6825156223. The next prime is 6825156251. The reversal of 6825156240 is 426515286.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515949 + ... + 529011.

Almost surely, 26825156240 is an apocalyptic number.

6825156240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6825156240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130080768).

6825156240 is an abundant number, since it is smaller than the sum of its proper divisors (17435005296).

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

6825156240 is a wasteful number, since it uses less digits than its factorization.

6825156240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13397 (or 13391 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 6825156240 is about 82614.5038113768. The cubic root of 6825156240 is about 1896.8698451351.

The spelling of 6825156240 in words is "six billion, eight hundred twenty-five million, one hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 311 336 420 560 622 840 933 1244 1555 1680 1866 2177 2488 3110 3732 4354 4665 4976 6220 6531 7464 8708 9330 10885 12440 13062 13063 14928 17416 18660 21770 24880 26124 26126 32655 34832 37320 39189 43540 52248 52252 65310 65315 74640 78378 87080 91441 104496 104504 130620 130630 156756 174160 182882 195945 209008 261240 261260 274323 313512 365764 391890 457205 522480 522520 548646 627024 731528 783780 914410 1045040 1097292 1371615 1463056 1567560 1828820 2194584 2743230 3135120 3657640 4062593 4389168 5486460 7315280 8125186 10972920 12187779 16250372 20312965 21945840 24375558 28438151 32500744 40625930 48751116 56876302 60938895 65001488 81251860 85314453 97502232 113752604 121877790 142190755 162503720 170628906 195004464 227505208 243755580 284381510 325007440 341257812 426572265 455010416 487511160 568763020 682515624 853144530 975022320 1137526040 1365031248 1706289060 2275052080 3412578120 6825156240