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11144313198 = 2322937577007
BaseRepresentation
bin10100110000100000…
…01011100101101110
31001202122222202201200
422120100023211232
5140310421010243
65041501150330
7543111046014
oct123020134556
931678882650
1011144313198
1147a97464a7
1221b025b3a6
131087ab4c85
1477a1188b4
15453598ad3
hex29840b96e

11144313198 has 48 divisors (see below), whose sum is σ = 25653775680. Its totient is φ = 3489732288.

The previous prime is 11144313179. The next prime is 11144313251. The reversal of 11144313198 is 89131344111.

11144313198 is a `hidden beast` number, since 1 + 11 + 443 + 13 + 198 = 666.

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, 269190 + ... + 307817.

It is an arithmetic number, because the mean of its divisors is an integer number (534453660).

Almost surely, 211144313198 is an apocalyptic number.

11144313198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11144313198 is an abundant number, since it is smaller than the sum of its proper divisors (14509462482).

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

11144313198 is a wasteful number, since it uses less digits than its factorization.

11144313198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577081 (or 577078 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 11144313198 in words is "eleven billion, one hundred forty-four million, three hundred thirteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 666 1073 2146 3219 6438 9657 19314 577007 1154014 1731021 3462042 5193063 10386126 16733203 21349259 33466406 42698518 50199609 64047777 100399218 128095554 150598827 192143331 301197654 384286662 619128511 1238257022 1857385533 3714771066 5572156599 11144313198