Search a number
-
+
11723299896 = 233711219127239
BaseRepresentation
bin10101110101100001…
…10101110000111000
31010021000110100011110
422322300311300320
5143002131044041
65215143000320
7563341255620
oct127260656070
933230410143
1011723299896
114a76551800
1223321390a0
13114aa34159
147d2d91880
15489315516
hex2bac35c38

11723299896 has 384 divisors, whose sum is σ = 39223296000. Its totient is φ = 2850059520.

The previous prime is 11723299849. The next prime is 11723299927. The reversal of 11723299896 is 69899232711.

11723299896 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 2×117232998962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 49051345 + ... + 49051583.

It is an arithmetic number, because the mean of its divisors is an integer number (102144000).

Almost surely, 211723299896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11723299896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611648000).

11723299896 is an abundant number, since it is smaller than the sum of its proper divisors (27499996104).

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

11723299896 is a wasteful number, since it uses less digits than its factorization.

11723299896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 57.

The spelling of 11723299896 in words is "eleven billion, seven hundred twenty-three million, two hundred ninety-nine thousand, eight hundred ninety-six".