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11384003312 = 2411210357089
BaseRepresentation
bin10101001101000101…
…00001101011110000
31002101101000021202022
422212202201223300
5141303301101222
65121342411012
7552051301013
oct124642415360
932341007668
1011384003312
114911a78200
122258590a68
1310c5657a46
1479dcad37a
15469643042
hex2a68a1af0

11384003312 has 60 divisors (see below), whose sum is σ = 24479735280. Its totient is φ = 5124218880.

The previous prime is 11384003263. The next prime is 11384003317. The reversal of 11384003312 is 21330048311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11384003317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170864 + ... + 227952.

It is an arithmetic number, because the mean of its divisors is an integer number (407995588).

Almost surely, 211384003312 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 11384003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239867640).

11384003312 is an abundant number, since it is smaller than the sum of its proper divisors (13095731968).

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

11384003312 is a wasteful number, since it uses less digits than its factorization.

11384003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57222 (or 57205 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 11384003312 in words is "eleven billion, three hundred eighty-four million, three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 103 121 176 206 242 412 484 824 968 1133 1648 1936 2266 4532 9064 12463 18128 24926 49852 57089 99704 114178 199408 228356 456712 627979 913424 1255958 2511916 5023832 5880167 6907769 10047664 11760334 13815538 23520668 27631076 47041336 55262152 64681837 94082672 110524304 129363674 258727348 517454696 711500207 1034909392 1423000414 2846000828 5692001656 11384003312