Search a number
-
+
11372541912 = 233523347733
BaseRepresentation
bin10101001011101101…
…10011011111011000
31002100120102222200000
422211312303133120
5141242332320122
65120253013000
7551552003604
oct124566633730
932316388600
1011372541912
11490655a076
122254784160
1310c3173c54
1479c568504
1546862c0ac
hex2a5db37d8

11372541912 has 192 divisors, whose sum is σ = 33471809280. Its totient is φ = 3610645632.

The previous prime is 11372541853. The next prime is 11372541913. The reversal of 11372541912 is 21914527311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11372541913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15514698 + ... + 15515430.

It is an arithmetic number, because the mean of its divisors is an integer number (174332340).

Almost surely, 211372541912 is an apocalyptic number.

11372541912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11372541912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735904640).

11372541912 is an abundant number, since it is smaller than the sum of its proper divisors (22099267368).

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

11372541912 is a wasteful number, since it uses less digits than its factorization.

11372541912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1108 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The spelling of 11372541912 in words is "eleven billion, three hundred seventy-two million, five hundred forty-one thousand, nine hundred twelve".