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11144066556 = 2237375960773
BaseRepresentation
bin10100110000011110…
…01111010111111100
31001202122112020101210
422120033033113330
5140310340112211
65041452004420
7543106000650
oct123017172774
931678466353
1011144066556
1147a9598167
1221b0160710
131087a2992c
1477a092a60
1545354a9a6
hex2983cf5fc

11144066556 has 96 divisors (see below), whose sum is σ = 31038497280. Its totient is φ = 3045406464.

The previous prime is 11144066551. The next prime is 11144066567. The reversal of 11144066556 is 65566044111.

It is a happy number.

It is a super-2 number, since 2×111440665562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144066551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152986 + ... + 213758.

It is an arithmetic number, because the mean of its divisors is an integer number (323317680).

Almost surely, 211144066556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144066556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519248640).

11144066556 is an abundant number, since it is smaller than the sum of its proper divisors (19894430724).

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

11144066556 is a wasteful number, since it uses less digits than its factorization.

11144066556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60883 (or 60881 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 11144066556 in words is "eleven billion, one hundred forty-four million, sixty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 59 74 84 111 118 148 177 222 236 259 354 413 444 518 708 777 826 1036 1239 1554 1652 2183 2478 3108 4366 4956 6549 8732 13098 15281 26196 30562 45843 60773 61124 91686 121546 182319 183372 243092 364638 425411 729276 850822 1276233 1701644 2248601 2552466 3585607 4497202 5104932 6745803 7171214 8994404 10756821 13491606 14342428 15740207 21513642 25099249 26983212 31480414 43027284 47220621 50198498 62960828 75297747 94441242 100396996 132667459 150595494 188882484 265334918 301190988 398002377 530669836 796004754 928672213 1592009508 1857344426 2786016639 3714688852 5572033278 11144066556