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11108985672 = 23337431072719
BaseRepresentation
bin10100101100010010…
…11010101101001000
31001200012111221110210
422112021122231020
5140222400020142
65034200041120
7542201551221
oct122611325510
931605457423
1011108985672
1147908073a4
1221a04631a0
131080696105
14775560248
1545041b49c
hex29625ab48

11108985672 has 128 divisors (see below), whose sum is σ = 29470003200. Its totient is φ = 3484954368.

The previous prime is 11108985661. The next prime is 11108985697. The reversal of 11108985672 is 27658980111.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4084329 + ... + 4087047.

It is an arithmetic number, because the mean of its divisors is an integer number (230234400).

Almost surely, 211108985672 is an apocalyptic number.

11108985672 is a gapful number since it is divisible by the number (12) 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 11108985672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14735001600).

11108985672 is an abundant number, since it is smaller than the sum of its proper divisors (18361017528).

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

11108985672 is a wasteful number, since it uses less digits than its factorization.

11108985672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 11108985672 in words is "eleven billion, one hundred eight million, nine hundred eighty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 43 74 86 107 111 129 148 172 214 222 258 296 321 344 428 444 516 642 856 888 1032 1284 1591 2568 2719 3182 3959 4601 4773 5438 6364 7918 8157 9202 9546 10876 11877 12728 13803 15836 16314 18404 19092 21752 23754 27606 31672 32628 36808 38184 47508 55212 65256 95016 100603 110424 116917 170237 201206 233834 290933 301809 340474 350751 402412 467668 510711 581866 603618 680948 701502 804824 872799 935336 1021422 1163732 1207236 1361896 1403004 1745598 2042844 2327464 2414472 2806008 3491196 4085688 4325929 6982392 8651858 10764521 12510119 12977787 17303716 21529042 25020238 25955574 32293563 34607432 37530357 43058084 50040476 51911148 64587126 75060714 86116168 100080952 103822296 129174252 150121428 258348504 300242856 462874403 925748806 1388623209 1851497612 2777246418 3702995224 5554492836 11108985672