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6505151664 = 2431121497517
BaseRepresentation
bin1100000111011110…
…01011110010110000
3121210100120221111010
412003233023302300
5101310304323124
62553255550520
7320126606514
oct60357136260
917710527433
106505151664
112838a96800
12131668b440
137c893598b
14459d46144
1528116c529
hex183bcbcb0

6505151664 has 120 divisors (see below), whose sum is σ = 18598028400. Its totient is φ = 1957767680.

The previous prime is 6505151603. The next prime is 6505151669. The reversal of 6505151664 is 4661515056.

It is not an unprimeable number, because it can be changed into a prime (6505151669) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 861634 + ... + 869150.

It is an arithmetic number, because the mean of its divisors is an integer number (154983570).

Almost surely, 26505151664 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 6505151664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9299014200).

6505151664 is an abundant number, since it is smaller than the sum of its proper divisors (12092876736).

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

6505151664 is a wasteful number, since it uses less digits than its factorization.

6505151664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 6505151664 is about 80654.5204188829. The cubic root of 6505151664 is about 1866.7484903475.

The spelling of 6505151664 in words is "six billion, five hundred five million, one hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 149 176 242 264 298 363 447 484 528 596 726 894 968 1192 1452 1639 1788 1936 2384 2904 3278 3576 4917 5808 6556 7152 7517 9834 13112 15034 18029 19668 22551 26224 30068 36058 39336 45102 54087 60136 72116 78672 82687 90204 108174 120272 144232 165374 180408 216348 248061 288464 330748 360816 432696 496122 661496 865392 909557 992244 1120033 1322992 1819114 1984488 2240066 2728671 3360099 3638228 3968976 4480132 5457342 6720198 7276456 8960264 10914684 12320363 13440396 14552912 17920528 21829368 24640726 26880792 36961089 43658736 49281452 53761584 73922178 98562904 135523993 147844356 197125808 271047986 295688712 406571979 542095972 591377424 813143958 1084191944 1626287916 2168383888 3252575832 6505151664