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6097697820 = 2234523915749
BaseRepresentation
bin1011010110111001…
…10111110000011100
3120201221220010220000
411223130313300130
544442002312240
62445022454300
7304051401444
oct55334676034
916657803800
106097697820
112649a9a695
121222134390
137623b4726
1441bba1124
1525a4d5430
hex16b737c1c

6097697820 has 120 divisors (see below), whose sum is σ = 19209960000. Its totient is φ = 1619146368.

The previous prime is 6097697813. The next prime is 6097697821. The reversal of 6097697820 is 287967906.

6097697820 is a `hidden beast` number, since 609 + 7 + 6 + 9 + 7 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6097697821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 379306 + ... + 395054.

It is an arithmetic number, because the mean of its divisors is an integer number (160083000).

Almost surely, 26097697820 is an apocalyptic number.

6097697820 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 6097697820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9604980000).

6097697820 is an abundant number, since it is smaller than the sum of its proper divisors (13112262180).

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

6097697820 is a wasteful number, since it uses less digits than its factorization.

6097697820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16009 (or 15998 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 6097697820 is about 78087.7571710188. The cubic root of 6097697820 is about 1826.9302472015.

The spelling of 6097697820 in words is "six billion, ninety-seven million, six hundred ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 239 270 324 405 478 540 717 810 956 1195 1434 1620 2151 2390 2868 3585 4302 4780 6453 7170 8604 10755 12906 14340 15749 19359 21510 25812 31498 32265 38718 43020 47247 62996 64530 77436 78745 94494 96795 129060 141741 157490 188988 193590 236235 283482 314980 387180 425223 472470 566964 708705 850446 944940 1275669 1417410 1700892 2126115 2551338 2834820 3764011 4252230 5102676 6378345 7528022 8504460 11292033 12756690 15056044 18820055 22584066 25513380 33876099 37640110 45168132 56460165 67752198 75280220 101628297 112920330 135504396 169380495 203256594 225840660 304884891 338760990 406513188 508141485 609769782 677521980 1016282970 1219539564 1524424455 2032565940 3048848910 6097697820