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6688082140 = 2252347714357
BaseRepresentation
bin1100011101010010…
…00000100011011100
3122021002210202220221
412032221000203130
5102144122112030
63023352451124
7324510521515
oct61651004334
918232722827
106688082140
112922280113
1213679a9aa4
138277c466c
14476363a0c
15292253e7a
hex18ea408dc

6688082140 has 96 divisors (see below), whose sum is σ = 15181737984. Its totient is φ = 2468632320.

The previous prime is 6688082129. The next prime is 6688082207. The reversal of 6688082140 is 412808866.

It is a super-2 number, since 2×66880821402 = 89460885422773959200, which contains 22 as substring.

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, 1532842 + ... + 1537198.

It is an arithmetic number, because the mean of its divisors is an integer number (158143104).

Almost surely, 26688082140 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 6688082140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7590868992).

6688082140 is an abundant number, since it is smaller than the sum of its proper divisors (8493655844).

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

6688082140 is a wasteful number, since it uses less digits than its factorization.

6688082140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 6688082140 is about 81780.6953993423. The cubic root of 6688082140 is about 1884.0851769016.

It can be divided in two parts, 668 and 8082140, that added together give a palindrome (8082808).

The spelling of 6688082140 in words is "six billion, six hundred eighty-eight million, eighty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 47 71 92 94 115 142 188 230 235 284 355 460 470 710 940 1081 1420 1633 2162 3266 3337 4324 4357 5405 6532 6674 8165 8714 10810 13348 16330 16685 17428 21620 21785 32660 33370 43570 66740 76751 87140 100211 153502 200422 204779 307004 309347 383755 400844 409558 501055 618694 767510 819116 1002110 1023895 1237388 1535020 1546735 2004220 2047790 3093470 4095580 4709917 6186940 7114981 9419834 14229962 14539309 18839668 23549585 28459924 29078618 35574905 47099170 58157236 71149810 72696545 94198340 142299620 145393090 290786180 334404107 668808214 1337616428 1672020535 3344041070 6688082140