Search a number
-
+
11129296528 = 247491920201
BaseRepresentation
bin10100101110101101…
…11001011010010000
31001201121201211201201
422113112321122100
5140243044442103
65040203240544
7542536313440
oct122726713220
931647654651
1011129296528
1147a121a229
1221a7219154
131084957b7c
1477812a120
154520ce51d
hex2975b9690

11129296528 has 40 divisors (see below), whose sum is σ = 24649672320. Its totient is φ = 4768492800.

The previous prime is 11129296499. The next prime is 11129296543. The reversal of 11129296528 is 82569292111.

It is a happy number.

11129296528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111292965282 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 540828 + ... + 561028.

It is an arithmetic number, because the mean of its divisors is an integer number (616241808).

Almost surely, 211129296528 is an apocalyptic number.

It is an amenable number.

11129296528 is an abundant number, since it is smaller than the sum of its proper divisors (13520375792).

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

11129296528 is a wasteful number, since it uses less digits than its factorization.

11129296528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25135 (or 25129 counting only the distinct ones).

The product of its digits is 155520, while the sum is 46.

The spelling of 11129296528 in words is "eleven billion, one hundred twenty-nine million, two hundred ninety-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 4919 9838 19676 20201 34433 39352 40402 68866 78704 80804 137732 141407 161608 275464 282814 323216 550928 565628 1131256 2262512 99368719 198737438 397474876 695581033 794949752 1391162066 1589899504 2782324132 5564648264 11129296528