Search a number
-
+
11253877206 = 23111383158029
BaseRepresentation
bin10100111101100100…
…01000100111010110
31002001022011012021220
422132302020213112
5141021443032311
65100413351210
7545611243425
oct123662104726
932038135256
1011253877206
11485557a570
122220a98506
1310a46c6a50
1478a8b92bc
1545cedc206
hex29ec889d6

11253877206 has 64 divisors (see below), whose sum is σ = 26761432320. Its totient is φ = 3109991040.

The previous prime is 11253877183. The next prime is 11253877237. The reversal of 11253877206 is 60277835211.

11253877206 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 7801 + ... + 150228.

It is an arithmetic number, because the mean of its divisors is an integer number (418147380).

Almost surely, 211253877206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11253877206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380716160).

11253877206 is an abundant number, since it is smaller than the sum of its proper divisors (15507555114).

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

11253877206 is a wasteful number, since it uses less digits than its factorization.

11253877206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158141.

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 11253877206 in words is "eleven billion, two hundred fifty-three million, eight hundred seventy-seven thousand, two hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 83 143 166 249 286 429 498 858 913 1079 1826 2158 2739 3237 5478 6474 11869 23738 35607 71214 158029 316058 474087 948174 1738319 2054377 3476638 4108754 5214957 6163131 10429914 12326262 13116407 22598147 26232814 39349221 45196294 67794441 78698442 135588882 144280477 170513291 288560954 341026582 432841431 511539873 865682862 1023079746 1875646201 3751292402 5626938603 11253877206