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2121493500 = 223253767349
BaseRepresentation
bin111111001110011…
…0110101111111100
312110211222000222100
41332130312233330
513321100243000
6550302545100
7103400253150
oct17634665774
95424860870
102121493500
11999589515
124b2598190
1327a6a4cc9
14161a83060
15c63b0a00
hex7e736bfc

2121493500 has 144 divisors (see below), whose sum is σ = 7648804800. Its totient is φ = 484905600.

The previous prime is 2121493453. The next prime is 2121493511. The reversal of 2121493500 is 53941212.

2121493500 is a `hidden beast` number, since 2 + 12 + 149 + 3 + 500 = 666.

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, 2175 + ... + 65174.

It is an arithmetic number, because the mean of its divisors is an integer number (53116700).

Almost surely, 22121493500 is an apocalyptic number.

2121493500 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 2121493500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824402400).

2121493500 is an abundant number, since it is smaller than the sum of its proper divisors (5527311300).

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

2121493500 is a wasteful number, since it uses less digits than its factorization.

2121493500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67381 (or 67366 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2121493500 is about 46059.6732511207. The cubic root of 2121493500 is about 1284.9332531556.

The spelling of 2121493500 in words is "two billion, one hundred twenty-one million, four hundred ninety-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2625 3150 3500 4500 5250 6300 7875 10500 15750 31500 67349 134698 202047 269396 336745 404094 471443 606141 673490 808188 942886 1010235 1212282 1346980 1414329 1683725 1885772 2020470 2357215 2424564 2828658 3030705 3367450 4040940 4242987 4714430 5051175 5657316 6061410 6734900 7071645 8418625 8485974 9428860 10102350 11786075 12122820 14143290 15153525 16837250 16971948 20204700 21214935 23572150 25255875 28286580 30307050 33674500 35358225 42429870 47144300 50511750 58930375 60614100 70716450 75767625 84859740 101023500 106074675 117860750 141432900 151535250 176791125 212149350 235721500 303070500 353582250 424298700 530373375 707164500 1060746750 2121493500