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20237694095100 = 22352832137380327
BaseRepresentation
bin1001001100111111101001…
…00100010100111011111100
32122122201000200211121210110
410212133310210110323330
510123033244142020400
6111013022431310020
74156060632342606
oct446376444247374
978581020747713
1020237694095100
1164a28377a2849
12232a24a97b310
13b3a538a236a1
144dd71c582176
15251667655e50
hex1267f4914efc

20237694095100 has 144 divisors (see below), whose sum is σ = 59287755840768. Its totient is φ = 5329188764160.

The previous prime is 20237694095039. The next prime is 20237694095173. The reversal of 20237694095100 is 159049673202.

It is a self number, because there is not a number n which added to its sum of digits gives 20237694095100.

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, 53021137 + ... + 53401463.

It is an arithmetic number, because the mean of its divisors is an integer number (411720526672).

Almost surely, 220237694095100 is an apocalyptic number.

20237694095100 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 20237694095100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29643877920384).

20237694095100 is an abundant number, since it is smaller than the sum of its proper divisors (39050061745668).

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

20237694095100 is a wasteful number, since it uses less digits than its factorization.

20237694095100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382564 (or 382557 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 20237694095100 in words is "twenty trillion, two hundred thirty-seven billion, six hundred ninety-four million, ninety-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2137 2490 4150 4274 4980 6225 6411 8300 8548 10685 12450 12822 21370 24900 25644 32055 42740 53425 64110 106850 128220 160275 177371 213700 320550 354742 380327 532113 641100 709484 760654 886855 1064226 1140981 1521308 1773710 1901635 2128452 2281962 2660565 3547420 3803270 4434275 4563924 5321130 5704905 7606540 8868550 9508175 10642260 11409810 13302825 17737100 19016350 22819620 26605650 28524525 31567141 38032700 53211300 57049050 63134282 94701423 114098100 126268564 157835705 189402846 315671410 378805692 473507115 631342820 789178525 812758799 947014230 1578357050 1625517598 1894028460 2367535575 2438276397 3156714100 3251035196 4063793995 4735071150 4876552794 8127587990 9470142300 9753105588 12191381985 16255175980 20318969975 24382763970 40637939950 48765527940 60956909925 67458980317 81275879900 121913819850 134917960634 202376940951 243827639700 269835921268 337294901585 404753881902 674589803170 809507763804 1011884704755 1349179606340 1686474507925 2023769409510 3372949015850 4047538819020 5059423523775 6745898031700 10118847047550 20237694095100