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20676406100 = 22527194313607
BaseRepresentation
bin10011010000011010…
…001110101101010100
31222100222022020222112
4103100122032231110
5314321124443400
613255411050152
71331244360230
oct232032165524
958328266875
1020676406100
118850323a29
1240105a0958
131c46875b2c
14100207b5c0
1581032c835
hex4d068eb54

20676406100 has 144 divisors (see below), whose sum is σ = 54116536320. Its totient is φ = 6698505600.

The previous prime is 20676406087. The next prime is 20676406169. The reversal of 20676406100 is 160467602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5730497 + ... + 5734103.

It is an arithmetic number, because the mean of its divisors is an integer number (375809280).

Almost surely, 220676406100 is an apocalyptic number.

20676406100 is a gapful number since it is divisible by the number (20) 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 20676406100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27058268160).

20676406100 is an abundant number, since it is smaller than the sum of its proper divisors (33440130220).

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

20676406100 is a wasteful number, since it uses less digits than its factorization.

20676406100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 20676406100 in words is "twenty billion, six hundred seventy-six million, four hundred six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 431 475 532 665 700 862 950 1330 1724 1900 2155 2660 3017 3325 3607 4310 6034 6650 7214 8189 8620 10775 12068 13300 14428 15085 16378 18035 21550 25249 30170 32756 36070 40945 43100 50498 57323 60340 68533 72140 75425 81890 90175 100996 114646 126245 137066 150850 163780 180350 204725 229292 252490 274132 286615 301700 342665 360700 409450 479731 504980 573230 631225 685330 818900 959462 1146460 1262450 1370660 1433075 1554617 1713325 1918924 2398655 2524900 2866150 3109234 3426650 4797310 5732300 6218468 6853300 7773085 9594620 10882319 11993275 15546170 21764638 23986550 29537723 31092340 38865425 43529276 47973100 54411595 59075446 77730850 108823190 118150892 147688615 155461700 206764061 217646380 272057975 295377230 413528122 544115950 590754460 738443075 827056244 1033820305 1088231900 1476886150 2067640610 2953772300 4135281220 5169101525 10338203050 20676406100