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11243159360 = 265311577219
BaseRepresentation
bin10100111100010010…
…01111111101000000
31002000112222200011122
422132021033331000
5141011222044420
65055351531412
7545421164156
oct123611177500
932015880148
1011243159360
11484a51a044
122219389b68
1310a2413524
147892c93d6
1545c0c1725
hex29e24ff40

11243159360 has 112 divisors (see below), whose sum is σ = 27816291840. Its totient is φ = 4323870720.

The previous prime is 11243159353. The next prime is 11243159363. The reversal of 11243159360 is 6395134211.

11243159360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11243159360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11243159363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1553831 + ... + 1561049.

Almost surely, 211243159360 is an apocalyptic number.

11243159360 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 11243159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13908145920).

11243159360 is an abundant number, since it is smaller than the sum of its proper divisors (16573132480).

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

11243159360 is a wasteful number, since it uses less digits than its factorization.

11243159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7424 (or 7414 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 11243159360 in words is "eleven billion, two hundred forty-three million, one hundred fifty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 157 160 248 310 314 320 496 620 628 785 992 1240 1256 1570 1984 2480 2512 3140 4867 4960 5024 6280 7219 9734 9920 10048 12560 14438 19468 24335 25120 28876 36095 38936 48670 50240 57752 72190 77872 97340 115504 144380 155744 194680 223789 231008 288760 311488 389360 447578 462016 577520 778720 895156 1118945 1133383 1155040 1557440 1790312 2237890 2266766 2310080 3580624 4475780 4533532 5666915 7161248 8951560 9067064 11333830 14322496 17903120 18134128 22667660 35134873 35806240 36268256 45335320 70269746 71612480 72536512 90670640 140539492 175674365 181341280 281078984 351348730 362682560 562157968 702697460 1124315936 1405394920 2248631872 2810789840 5621579680 11243159360