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18689621100 = 22352718271061
BaseRepresentation
bin10001011001111111…
…001111110001101100
31210020111211010022220
4101121333033301230
5301234020333400
612330315235340
71231101105153
oct213177176154
953214733286
1018689621100
117a20892a57
123757148b50
1319bb0777c7
14c9426259a
15745bca7a0
hex459fcfc6c

18689621100 has 144 divisors (see below), whose sum is σ = 54954982656. Its totient is φ = 4903136000.

The previous prime is 18689621099. The next prime is 18689621113. The reversal of 18689621100 is 112698681.

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, 17614570 + ... + 17615630.

It is an arithmetic number, because the mean of its divisors is an integer number (381631824).

Almost surely, 218689621100 is an apocalyptic number.

18689621100 is a gapful number since it is divisible by the number (10) 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 18689621100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27477491328).

18689621100 is an abundant number, since it is smaller than the sum of its proper divisors (36265361556).

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

18689621100 is a wasteful number, since it uses less digits than its factorization.

18689621100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 18689621100 in words is "eighteen billion, six hundred eighty-nine million, six hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 827 852 1061 1065 1420 1654 1775 2122 2130 2481 3183 3308 3550 4135 4244 4260 4962 5305 5325 6366 7100 8270 9924 10610 10650 12405 12732 15915 16540 20675 21220 21300 24810 26525 31830 41350 49620 53050 58717 62025 63660 75331 79575 82700 106100 117434 124050 150662 159150 176151 225993 234868 248100 293585 301324 318300 352302 376655 451986 587170 704604 753310 877447 880755 903972 1129965 1174340 1467925 1506620 1754894 1761510 1883275 2259930 2632341 2935850 3509788 3523020 3766550 4387235 4403775 4519860 5264682 5649825 5871700 7533100 8774470 8807550 10529364 11299650 13161705 17548940 17615100 21936175 22599300 26323410 43872350 52646820 62298737 65808525 87744700 124597474 131617050 186896211 249194948 263234100 311493685 373792422 622987370 747584844 934481055 1245974740 1557468425 1868962110 3114936850 3737924220 4672405275 6229873700 9344810550 18689621100