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5668836900 = 2235273313827
BaseRepresentation
bin1010100011110001…
…11001011000100100
3112122001220202022020
411101320321120210
543102210240100
62334302503140
7260323214166
oct52170713044
915561822266
105668836900
112449a02081
121122594ab0
136c45a977c
143bac46936
15232a205a0
hex151e39624

5668836900 has 144 divisors (see below), whose sum is σ = 16699806144. Its totient is φ = 1484421120.

The previous prime is 5668836893. The next prime is 5668836907. The reversal of 5668836900 is 96388665.

It is an interprime number because it is at equal distance from previous prime (5668836893) and next prime (5668836907).

It is a super-2 number, since 2×56688369002 = 64271423597603220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5668836907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6854287 + ... + 6855113.

It is an arithmetic number, because the mean of its divisors is an integer number (115970876).

Almost surely, 25668836900 is an apocalyptic number.

5668836900 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 5668836900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8349903072).

5668836900 is an abundant number, since it is smaller than the sum of its proper divisors (11030969244).

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

5668836900 is a wasteful number, since it uses less digits than its factorization.

5668836900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 5668836900 is about 75291.6788230944. The cubic root of 5668836900 is about 1783.0546484675.

The spelling of 5668836900 in words is "five billion, six hundred sixty-eight million, eight hundred thirty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 313 365 438 626 730 827 876 939 1095 1252 1460 1565 1654 1825 1878 2190 2481 3130 3308 3650 3756 4135 4380 4695 4962 5475 6260 7300 7825 8270 9390 9924 10950 12405 15650 16540 18780 20675 21900 22849 23475 24810 31300 41350 45698 46950 49620 60371 62025 68547 82700 91396 93900 114245 120742 124050 137094 181113 228490 241484 248100 258851 274188 301855 342735 362226 456980 517702 571225 603710 685470 724452 776553 905565 1035404 1142450 1207420 1294255 1370940 1509275 1553106 1713675 1811130 2284900 2588510 3018550 3106212 3427350 3622260 3882765 4527825 5177020 6037100 6471275 6854700 7765530 9055650 12942550 15531060 18111300 18896123 19413825 25885100 37792246 38827650 56688369 75584492 77655300 94480615 113376738 188961230 226753476 283441845 377922460 472403075 566883690 944806150 1133767380 1417209225 1889612300 2834418450 5668836900