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6076808136 = 2333731112923
BaseRepresentation
bin1011010100011010…
…01011101111001000
3120200111120211122000
411222031023233020
544421130330021
62442555031000
7303406005540
oct55215135710
916614524560
106076808136
112639221993
12121713b460
1375ac7c379
144190c4320
1525875ab26
hex16a34bbc8

6076808136 has 128 divisors (see below), whose sum is σ = 19354982400. Its totient is φ = 1730514240.

The previous prime is 6076808107. The next prime is 6076808197. The reversal of 6076808136 is 6318086706.

6076808136 is a `hidden beast` number, since 607 + 6 + 8 + 0 + 8 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6076808091 and 6076808100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463771 + ... + 476693.

It is an arithmetic number, because the mean of its divisors is an integer number (151210800).

Almost surely, 26076808136 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 6076808136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677491200).

6076808136 is an abundant number, since it is smaller than the sum of its proper divisors (13278174264).

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

6076808136 is a wasteful number, since it uses less digits than its factorization.

6076808136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13256 (or 13246 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6076808136 is about 77953.8846754926. The cubic root of 6076808136 is about 1824.8416086719.

The spelling of 6076808136 in words is "six billion, seventy-six million, eight hundred eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 311 378 504 622 756 933 1244 1512 1866 2177 2488 2799 3732 4354 5598 6531 7464 8397 8708 11196 12923 13062 16794 17416 19593 22392 25846 26124 33588 38769 39186 51692 52248 58779 67176 77538 78372 90461 103384 116307 117558 155076 156744 180922 232614 235116 271383 310152 348921 361844 465228 470232 542766 697842 723688 814149 930456 1085532 1395684 1628298 2171064 2442447 2791368 3256596 4019053 4884894 6513192 8038106 9769788 12057159 16076212 19539576 24114318 28133371 32152424 36171477 48228636 56266742 72342954 84400113 96457272 108514431 112533484 144685908 168800226 217028862 225066968 253200339 289371816 337600452 434057724 506400678 675200904 759601017 868115448 1012801356 1519202034 2025602712 3038404068 6076808136