Search a number
-
+
6531642768 = 2437219146161
BaseRepresentation
bin1100001010101000…
…01111010110010000
3121212012102211110010
412011110033112100
5101334100032033
63000043434520
7320601022200
oct60524172620
917765384403
106531642768
112851a3a982
121323525a40
1380127c7a1
1445d680400
15283651863
hex18550f590

6531642768 has 120 divisors (see below), whose sum is σ = 20661460320. Its totient is φ = 1767951360.

The previous prime is 6531642763. The next prime is 6531642773. The reversal of 6531642768 is 8672461356.

It is an interprime number because it is at equal distance from previous prime (6531642763) and next prime (6531642773).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6531642763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28393 + ... + 117768.

It is an arithmetic number, because the mean of its divisors is an integer number (172178836).

Almost surely, 26531642768 is an apocalyptic number.

It is an amenable number.

6531642768 is an abundant number, since it is smaller than the sum of its proper divisors (14129817552).

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

6531642768 is a wasteful number, since it uses less digits than its factorization.

6531642768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146205 (or 146192 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 6531642768 is about 80818.5793490581. The cubic root of 6531642768 is about 1869.2790616990.

The spelling of 6531642768 in words is "six billion, five hundred thirty-one million, six hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 6384 7448 11172 14896 22344 44688 146161 292322 438483 584644 876966 1023127 1169288 1753932 2046254 2338576 2777059 3069381 3507864 4092508 5554118 6138762 7015728 7161889 8185016 8331177 11108236 12277524 14323778 16370032 16662354 19439413 21485667 22216472 24555048 28647556 33324708 38878826 42971334 44432944 49110096 57295112 58318239 66649416 77757652 85942668 114590224 116636478 133298832 136075891 155515304 171885336 233272956 272151782 311030608 343770672 408227673 466545912 544303564 816455346 933091824 1088607128 1632910692 2177214256 3265821384 6531642768