Search a number
-
+
11160444450 = 23521012632801
BaseRepresentation
bin10100110010011011…
…01101111000100010
31001210210100022122110
422121031231320202
5140324033210300
65043235020150
7543365132631
oct123115557042
931723308573
1011160444450
114807864111
1221b573a656
13108b2424ac
1477c317518
15454bd3550
hex29936de22

11160444450 has 96 divisors (see below), whose sum is σ = 28068239232. Its totient is φ = 2934400000.

The previous prime is 11160444443. The next prime is 11160444469. The reversal of 11160444450 is 5444406111.

11160444450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 3983050 + ... + 3985850.

It is an arithmetic number, because the mean of its divisors is an integer number (292377492).

Almost surely, 211160444450 is an apocalyptic number.

11160444450 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 11160444450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034119616).

11160444450 is an abundant number, since it is smaller than the sum of its proper divisors (16907794782).

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

11160444450 is a wasteful number, since it uses less digits than its factorization.

11160444450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 11160444450 in words is "eleven billion, one hundred sixty million, four hundred forty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 101 150 202 263 303 505 526 606 789 1010 1315 1515 1578 2525 2630 2801 3030 3945 5050 5602 6575 7575 7890 8403 13150 14005 15150 16806 19725 26563 28010 39450 42015 53126 70025 79689 84030 132815 140050 159378 210075 265630 282901 398445 420150 565802 664075 736663 796890 848703 1328150 1414505 1473326 1697406 1992225 2209989 2829010 3683315 3984450 4243515 4419978 7072525 7366630 8487030 11049945 14145050 18416575 21217575 22099890 36833150 42435150 55249725 74402963 110499450 148805926 223208889 372014815 446417778 744029630 1116044445 1860074075 2232088890 3720148150 5580222225 11160444450