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6005103006 = 2371072395591
BaseRepresentation
bin1011001011110111…
…01001100110011110
3120111111122211200110
411211323221212132
544244301244011
62431514110450
7301545350640
oct54573514636
916444584613
106005103006
1126017a6851
1211b711b426
137491646b6
1440d77a890
152522e4ba6
hex165ee999e

6005103006 has 64 divisors (see below), whose sum is σ = 13914685440. Its totient is φ = 1692294240.

The previous prime is 6005102989. The next prime is 6005103019. The reversal of 6005103006 is 6003015006.

It is a super-2 number, since 2×60051030062 = 72122524225340472072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 1071271 + ... + 1076861.

It is an arithmetic number, because the mean of its divisors is an integer number (217416960).

Almost surely, 26005103006 is an apocalyptic number.

6005103006 is an abundant number, since it is smaller than the sum of its proper divisors (7909582434).

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

6005103006 is a wasteful number, since it uses less digits than its factorization.

6005103006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 6005103006 is about 77492.5996853893. The cubic root of 6005103006 is about 1817.6356011485.

The spelling of 6005103006 in words is "six billion, five million, one hundred three thousand, six".

Divisors: 1 2 3 6 7 14 21 42 107 214 239 321 478 642 717 749 1434 1498 1673 2247 3346 4494 5019 5591 10038 11182 16773 25573 33546 39137 51146 76719 78274 117411 153438 179011 234822 358022 537033 598237 1074066 1196474 1336249 1794711 2672498 3589422 4008747 4187659 8017494 8375318 9353743 12562977 18707486 25125954 28061229 56122458 142978643 285957286 428935929 857871858 1000850501 2001701002 3002551503 6005103006