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5681660100 = 22352172348437
BaseRepresentation
bin1010100101010011…
…10100000011000100
3112122222001020102120
411102221310003010
543114001110400
62335441405540
7260540212464
oct52251640304
915588036376
105681660100
112456170366
1211269398b0
136c714936c
143bc823ba4
15233c04ca0
hex152a740c4

5681660100 has 144 divisors (see below), whose sum is σ = 18163087488. Its totient is φ = 1363957760.

The previous prime is 5681660093. The next prime is 5681660113. The reversal of 5681660100 is 10661865.

It is a super-2 number, since 2×56816601002 = 64562522983864020000, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 93082 + ... + 141518.

It is an arithmetic number, because the mean of its divisors is an integer number (126132552).

Almost surely, 25681660100 is an apocalyptic number.

5681660100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5681660100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081543744).

5681660100 is an abundant number, since it is smaller than the sum of its proper divisors (12481427388).

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

5681660100 is a wasteful number, since it uses less digits than its factorization.

5681660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48494 (or 48487 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5681660100 is about 75376.7875409930. The cubic root of 5681660100 is about 1784.3980897063.

The spelling of 5681660100 in words is "five billion, six hundred eighty-one million, six hundred sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 25 30 34 46 50 51 60 68 69 75 85 92 100 102 115 138 150 170 204 230 255 276 300 340 345 391 425 460 510 575 690 782 850 1020 1150 1173 1275 1380 1564 1700 1725 1955 2300 2346 2550 3450 3910 4692 5100 5865 6900 7820 9775 11730 19550 23460 29325 39100 48437 58650 96874 117300 145311 193748 242185 290622 484370 581244 726555 823429 968740 1114051 1210925 1453110 1646858 2228102 2421850 2470287 2906220 3293716 3342153 3632775 4117145 4456204 4843700 4940574 5570255 6684306 7265550 8234290 9881148 11140510 12351435 13368612 14531100 16468580 16710765 18938867 20585725 22281020 24702870 27851275 33421530 37877734 41171450 49405740 55702550 56816601 61757175 66843060 75755468 82342900 83553825 94694335 111405100 113633202 123514350 167107650 189388670 227266404 247028700 284083005 334215300 378777340 473471675 568166010 946943350 1136332020 1420415025 1893886700 2840830050 5681660100