Search a number
-
+
11523340520 = 2351740574177
BaseRepresentation
bin10101011101101100…
…00011100011101000
31002202002012100110122
422232312003203220
5142044433344040
65143241102412
7555362530646
oct125666034350
932662170418
1011523340520
11498369731a
122297187a08
1311184924b3
147b45c0196
154769b81b5
hex2aed838e8

11523340520 has 64 divisors (see below), whose sum is σ = 27466004880. Its totient is φ = 4336091136.

The previous prime is 11523340511. The next prime is 11523340547. The reversal of 11523340520 is 2504332511.

It is a happy number.

11523340520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9349729636 + 2173610884 = 96694^2 + 46622^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11523340520.

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 15 ways as a sum of consecutive naturals, for example, 2756672 + ... + 2760848.

Almost surely, 211523340520 is an apocalyptic number.

11523340520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11523340520 is an abundant number, since it is smaller than the sum of its proper divisors (15942664360).

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

11523340520 is a wasteful number, since it uses less digits than its factorization.

11523340520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8258 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 11523340520 in words is "eleven billion, five hundred twenty-three million, three hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 4057 4177 8114 8354 16228 16708 20285 20885 32456 33416 40570 41770 68969 71009 81140 83540 137938 142018 162280 167080 275876 284036 344845 355045 551752 568072 689690 710090 1379380 1420180 2758760 2840360 16946089 33892178 67784356 84730445 135568712 169460890 288083513 338921780 576167026 677843560 1152334052 1440417565 2304668104 2880835130 5761670260 11523340520