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21194898900 = 22352766115269
BaseRepresentation
bin10011101111010100…
…000111110111010100
32000201002221102101120
4103233110013313110
5321401343231100
613423052123540
71350141445110
oct235724076724
960632842346
1021194898900
118a96a7127a
1241361665b0
131cca1042c6
141050c88740
15840aea0a0
hex4ef507dd4

21194898900 has 144 divisors (see below), whose sum is σ = 70195090560. Its totient is φ = 4836902400.

The previous prime is 21194898883. The next prime is 21194898931. The reversal of 21194898900 is 989849112.

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, 1380466 + ... + 1395734.

Almost surely, 221194898900 is an apocalyptic number.

21194898900 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 21194898900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35097545280).

21194898900 is an abundant number, since it is smaller than the sum of its proper divisors (49000191660).

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

21194898900 is a wasteful number, since it uses less digits than its factorization.

21194898900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15954 (or 15947 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The spelling of 21194898900 in words is "twenty-one billion, one hundred ninety-four million, eight hundred ninety-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 661 700 1050 1322 1983 2100 2644 3305 3966 4627 6610 7932 9254 9915 13220 13881 15269 16525 18508 19830 23135 27762 30538 33050 39660 45807 46270 49575 55524 61076 66100 69405 76345 91614 92540 99150 106883 115675 138810 152690 183228 198300 213766 229035 231350 277620 305380 320649 347025 381725 427532 458070 462700 534415 641298 694050 763450 916140 1068830 1145175 1282596 1388100 1526900 1603245 2137660 2290350 2672075 3206490 4580700 5344150 6412980 8016225 10092809 10688300 16032450 20185618 30278427 32064900 40371236 50464045 60556854 70649663 100928090 121113708 141299326 151392135 201856180 211948989 252320225 282598652 302784270 353248315 423897978 504640450 605568540 706496630 756960675 847795956 1009280900 1059744945 1412993260 1513921350 1766241575 2119489890 3027842700 3532483150 4238979780 5298724725 7064966300 10597449450 21194898900