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11449171920 = 24351271492521
BaseRepresentation
bin10101010100110110…
…00111111111010000
31002112220122012021110
422222123013333100
5141421442000140
65132031253320
7553502232654
oct125233077720
932486565243
1011449171920
11494583935a
12227637a240
131105cc4454
147a87d4a64
15470217380
hex2aa6c7fd0

11449171920 has 160 divisors (see below), whose sum is σ = 36026265600. Its totient is φ = 3007549440.

The previous prime is 11449171919. The next prime is 11449171939. The reversal of 11449171920 is 2917194411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4540260 + ... + 4542780.

It is an arithmetic number, because the mean of its divisors is an integer number (225164160).

Almost surely, 211449171920 is an apocalyptic number.

11449171920 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 11449171920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013132800).

11449171920 is an abundant number, since it is smaller than the sum of its proper divisors (24577093680).

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

11449171920 is a wasteful number, since it uses less digits than its factorization.

11449171920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 11449171920 in words is "eleven billion, four hundred forty-nine million, one hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 149 240 254 298 381 447 508 596 635 745 762 894 1016 1192 1270 1490 1524 1788 1905 2032 2235 2384 2521 2540 2980 3048 3576 3810 4470 5042 5080 5960 6096 7152 7563 7620 8940 10084 10160 11920 12605 15126 15240 17880 18923 20168 25210 30252 30480 35760 37815 37846 40336 50420 56769 60504 75630 75692 94615 100840 113538 121008 151260 151384 189230 201680 227076 283845 302520 302768 320167 375629 378460 454152 567690 605040 640334 751258 756920 908304 960501 1126887 1135380 1280668 1502516 1513840 1600835 1878145 1921002 2253774 2270760 2561336 3005032 3201670 3756290 3842004 4507548 4541520 4802505 5122672 5634435 6010064 6403340 7512580 7684008 9015096 9605010 11268870 12806680 15025160 15368016 18030192 19210020 22537740 25613360 30050320 38420040 45075480 47704883 76840080 90150960 95409766 143114649 190819532 238524415 286229298 381639064 477048830 572458596 715573245 763278128 954097660 1144917192 1431146490 1908195320 2289834384 2862292980 3816390640 5724585960 11449171920