Search a number
-
+
11185042656 = 253593196477
BaseRepresentation
bin10100110101010111…
…00011010011100000
31001212111122001001010
422122223203103200
5140401332331111
65045514140520
7544114202544
oct123253432340
931774561033
1011185042656
11481a735107
122201a21740
131093375848
147816bba24
15456e41aa6
hex29aae34e0

11185042656 has 48 divisors (see below), whose sum is σ = 29410398864. Its totient is φ = 3722041344.

The previous prime is 11185042643. The next prime is 11185042709. The reversal of 11185042656 is 65624058111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41311 + ... + 155166.

It is an arithmetic number, because the mean of its divisors is an integer number (612716643).

Almost surely, 211185042656 is an apocalyptic number.

11185042656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11185042656 is an abundant number, since it is smaller than the sum of its proper divisors (18225356208).

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

11185042656 is a wasteful number, since it uses less digits than its factorization.

11185042656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197083 (or 197075 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 11185042656 in words is "eleven billion, one hundred eighty-five million, forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 593 1186 1779 2372 3558 4744 7116 9488 14232 18976 28464 56928 196477 392954 589431 785908 1178862 1571816 2357724 3143632 4715448 6287264 9430896 18861792 116510861 233021722 349532583 466043444 699065166 932086888 1398130332 1864173776 2796260664 3728347552 5592521328 11185042656