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6020099008 = 267116718233
BaseRepresentation
bin1011001101101001…
…10110101111000000
3120112112212201022221
411212310312233000
544312121132013
62433211340424
7302116666030
oct54664665700
916475781287
106020099008
11260a209540
121200151714
1374c2b5281
144117618c0
152537a808d
hex166d36bc0

6020099008 has 112 divisors (see below), whose sum is σ = 15117007104. Its totient is φ = 2310359040.

The previous prime is 6020098993. The next prime is 6020099047. The reversal of 6020099008 is 8009900206.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×60200990082 = 72483184132245168128, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 321060 + ... + 339292.

Almost surely, 26020099008 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 6020099008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558503552).

6020099008 is an abundant number, since it is smaller than the sum of its proper divisors (9096908096).

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

6020099008 is a wasteful number, since it uses less digits than its factorization.

6020099008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18330 (or 18320 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 6020099008 is about 77589.2969938509. The cubic root of 6020099008 is about 1819.1473492661.

The spelling of 6020099008 in words is "six billion, twenty million, ninety-nine thousand, eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 67 77 88 112 134 154 176 224 268 308 352 448 469 536 616 704 737 938 1072 1232 1474 1876 2144 2464 2948 3752 4288 4928 5159 5896 7504 10318 11792 15008 18233 20636 23584 30016 36466 41272 47168 72932 82544 127631 145864 165088 200563 255262 291728 330176 401126 510524 583456 802252 1021048 1166912 1221611 1403941 1604504 2042096 2443222 2807882 3209008 4084192 4886444 5615764 6418016 8168384 8551277 9772888 11231528 12836032 13437721 17102554 19545776 22463056 26875442 34205108 39091552 44926112 53750884 68410216 78183104 89852224 94064047 107501768 136820432 188128094 215003536 273640864 376256188 430007072 547281728 752512376 860014144 1505024752 3010049504 6020099008