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6331686340 = 2257535931439
BaseRepresentation
bin1011110010110010…
…11101110111000100
3121100021011222210111
411321121131313010
5100431402430330
62524142002404
7312622305640
oct57131356704
917307158714
106331686340
11275a087731
121288576404
1379ba0c285
14440cadc20
15270d0532a
hex17965ddc4

6331686340 has 96 divisors (see below), whose sum is σ = 15519651840. Its totient is φ = 2124834816.

The previous prime is 6331686337. The next prime is 6331686341. The reversal of 6331686340 is 436861336.

It is a junction number, because it is equal to n+sod(n) for n = 6331686293 and 6331686302.

It is not an unprimeable number, because it can be changed into a prime (6331686341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4399341 + ... + 4400779.

It is an arithmetic number, because the mean of its divisors is an integer number (161663040).

Almost surely, 26331686340 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 6331686340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759825920).

6331686340 is an abundant number, since it is smaller than the sum of its proper divisors (9187965500).

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

6331686340 is a wasteful number, since it uses less digits than its factorization.

6331686340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 6331686340 is about 79571.8941586789. The cubic root of 6331686340 is about 1850.0059741711.

The spelling of 6331686340 in words is "six billion, three hundred thirty-one million, six hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 593 742 1060 1186 1439 1484 1855 2372 2878 2965 3710 4151 5756 5930 7195 7420 8302 10073 11860 14390 16604 20146 20755 28780 31429 40292 41510 50365 62858 76267 83020 100730 125716 152534 157145 201460 220003 305068 314290 381335 440006 533869 628580 762670 853327 880012 1067738 1100015 1525340 1706654 2135476 2200030 2669345 3413308 4266635 4400060 5338690 5973289 8533270 10677380 11946578 17066540 23893156 29866445 45226331 59732890 90452662 119465780 180905324 226131655 316584317 452263310 633168634 904526620 1266337268 1582921585 3165843170 6331686340