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6006706713 = 347176771131
BaseRepresentation
bin1011001100000011…
…10001001000011001
3120111121200022120000
411212001301020121
544300204103323
62432012323213
7301565110320
oct54601611031
916447608500
106006706713
1126026a1727
1211b7773509
137495a6637
1440da770b7
1525250ee43
hex166071219

6006706713 has 160 divisors (see below), whose sum is σ = 11260643328. Its totient is φ = 3113510400.

The previous prime is 6006706711. The next prime is 6006706757. The reversal of 6006706713 is 3176076006.

It is not a de Polignac number, because 6006706713 - 21 = 6006706711 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6006706711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45852658 + ... + 45852788.

Almost surely, 26006706713 is an apocalyptic number.

6006706713 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6006706713 is a deficient number, since it is larger than the sum of its proper divisors (5253936615).

6006706713 is a wasteful number, since it uses less digits than its factorization.

6006706713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 6006706713 is about 77502.9464794726. The cubic root of 6006706713 is about 1817.7973910731.

The spelling of 6006706713 in words is "six billion, six million, seven hundred six thousand, seven hundred thirteen".

Divisors: 1 3 7 9 17 21 27 51 63 67 71 81 119 131 153 189 201 213 357 393 459 469 497 567 603 639 917 1071 1139 1179 1207 1377 1407 1491 1809 1917 2227 2751 3213 3417 3537 3621 4221 4473 4757 5427 5751 6681 7973 8253 8449 8777 9301 9639 10251 10611 10863 12663 13419 14271 15589 20043 23919 24759 25347 26331 27903 30753 32589 33299 37989 40257 42813 46767 60129 61439 65107 71757 74277 76041 78993 80869 83709 92259 97767 99897 128439 140301 149209 158117 180387 184317 195321 215271 228123 236979 242607 251127 299691 385317 420903 447627 474351 552951 566083 585963 623167 645813 684369 710937 727821 753381 899073 1044463 1106819 1262709 1342881 1423053 1658853 1698249 1757889 1869501 2183463 2697219 3133389 3320457 4028643 4269159 4362169 4976559 5094747 5273667 5608503 6550389 9400167 9961371 10593839 12085929 12807477 13086507 15284241 16825509 28200501 29884113 31781517 39259521 45852723 50476527 74156873 84601503 89652339 95344551 117778563 222470619 286033653 353335689 667411857 858100959 2002235571 6006706713