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11146253244 = 2237291920627
BaseRepresentation
bin10100110000101111…
…00101001110111100
31001202210122022222020
422120113211032330
5140311420100434
65042010520140
7543133406100
oct123027451674
931683568866
1011146253244
1147aa851045
1221b0a36050
131088314029
1477a4a1900
1545382d849
hex2985e53bc

11146253244 has 72 divisors (see below), whose sum is σ = 30288504960. Its totient is φ = 3181024224.

The previous prime is 11146253231. The next prime is 11146253311. The reversal of 11146253244 is 44235264111.

It is a happy number.

It is a super-2 number, since 2×111462532442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530059 + ... + 550685.

It is an arithmetic number, because the mean of its divisors is an integer number (420673680).

Almost surely, 211146253244 is an apocalyptic number.

11146253244 is a gapful number since it is divisible by the number (14) 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 11146253244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144252480).

11146253244 is an abundant number, since it is smaller than the sum of its proper divisors (19142251716).

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

11146253244 is a wasteful number, since it uses less digits than its factorization.

11146253244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21567 (or 21558 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The spelling of 11146253244 in words is "eleven billion, one hundred forty-six million, two hundred fifty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 919 1838 2757 3676 5514 6433 11028 12866 19299 20627 25732 38598 41254 45031 61881 77196 82508 90062 123762 135093 144389 180124 247524 270186 288778 433167 540372 577556 866334 1010723 1732668 2021446 3032169 4042892 6064338 12128676 18956213 37912426 56868639 75824852 113737278 132693491 227474556 265386982 398080473 530773964 796160946 928854437 1592321892 1857708874 2786563311 3715417748 5573126622 11146253244