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11144478450 = 2352716676367
BaseRepresentation
bin10100110000100001…
…10011111011110010
31001202200022011102010
422120100303323302
5140310441302300
65041504503350
7543112334550
oct123020637362
931680264363
1011144478450
1147a9849676
1221b031ab56
131087b42261
1477a15cbd0
154535cca50
hex298433ef2

11144478450 has 96 divisors (see below), whose sum is σ = 31610548224. Its totient is φ = 2545381440.

The previous prime is 11144478437. The next prime is 11144478547. The reversal of 11144478450 is 5487444111.

11144478450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11144478399 and 11144478408.

It is an unprimeable number.

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, 1747167 + ... + 1753533.

It is an arithmetic number, because the mean of its divisors is an integer number (329276544).

Almost surely, 211144478450 is an apocalyptic number.

11144478450 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 11144478450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805274112).

11144478450 is an abundant number, since it is smaller than the sum of its proper divisors (20466069774).

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

11144478450 is a wasteful number, since it uses less digits than its factorization.

11144478450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 11144478450 in words is "eleven billion, one hundred forty-four million, four hundred seventy-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 1667 3334 5001 6367 8335 10002 11669 12734 16670 19101 23338 25005 31835 35007 38202 41675 44569 50010 58345 63670 70014 83350 89138 95505 116690 125025 133707 159175 175035 191010 222845 250050 267414 291725 318350 350070 445690 477525 583450 668535 875175 955050 1114225 1337070 1750350 2228450 3342675 6685350 10613789 21227578 31841367 53068945 63682734 74296523 106137890 148593046 159206835 222889569 265344725 318413670 371482615 445779138 530689450 742965230 796034175 1114447845 1592068350 1857413075 2228895690 3714826150 5572239225 11144478450