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11143605450 = 2352198943933
BaseRepresentation
bin10100110000011010…
…11110110011001010
31001202121122210212210
422120031132303022
5140310230333300
65041434045550
7543102040425
oct123015366312
931677583783
1011143605450
1147a930278a
1221abb798b6
1310878c7aa3
14779db29bc
154534a9050
hex29835ecca

11143605450 has 96 divisors (see below), whose sum is σ = 29418206400. Its totient is φ = 2783531520.

The previous prime is 11143605443. The next prime is 11143605457. The reversal of 11143605450 is 5450634111.

It is a happy number.

11143605450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11143605443) and next prime (11143605457).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11143605457) 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 47 ways as a sum of consecutive naturals, for example, 231684 + ... + 275616.

It is an arithmetic number, because the mean of its divisors is an integer number (306439650).

Almost surely, 211143605450 is an apocalyptic number.

11143605450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11143605450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14709103200).

11143605450 is an abundant number, since it is smaller than the sum of its proper divisors (18274600950).

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

11143605450 is a wasteful number, since it uses less digits than its factorization.

11143605450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44056 (or 44051 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 11143605450 in words is "eleven billion, one hundred forty-three million, six hundred five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 89 95 114 150 178 190 267 285 445 475 534 570 890 950 1335 1425 1691 2225 2670 2850 3382 4450 5073 6675 8455 10146 13350 16910 25365 42275 43933 50730 84550 87866 126825 131799 219665 253650 263598 439330 658995 834727 1098325 1317990 1669454 2196650 2504181 3294975 3910037 4173635 5008362 6589950 7820074 8347270 11730111 12520905 19550185 20868175 23460222 25041810 39100370 41736350 58650555 62604525 74290703 97750925 117301110 125209050 148581406 195501850 222872109 293252775 371453515 445744218 586505550 742907030 1114360545 1857267575 2228721090 3714535150 5571802725 11143605450