Search a number
-
+
11301296216 = 2371928137799
BaseRepresentation
bin10101000011001110…
…00001100001011000
31002011121101022221112
422201213001201120
5141121112434331
65105225555452
7550025301320
oct124147014130
932147338845
1011301296216
11487a318131
122234945b88
1310b148a432
14792d00280
1546225732b
hex2a19c1858

11301296216 has 64 divisors (see below), whose sum is σ = 25583040000. Its totient is φ = 4572046080.

The previous prime is 11301296191. The next prime is 11301296239. The reversal of 11301296216 is 61269210311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280085 + ... + 317883.

It is an arithmetic number, because the mean of its divisors is an integer number (399735000).

Almost surely, 211301296216 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 11301296216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791520000).

11301296216 is an abundant number, since it is smaller than the sum of its proper divisors (14281743784).

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

11301296216 is a wasteful number, since it uses less digits than its factorization.

11301296216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38112 (or 38108 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 11301296216 in words is "eleven billion, three hundred one million, two hundred ninety-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 281 532 562 1064 1124 1967 2248 3934 5339 7868 10678 15736 21356 37373 37799 42712 74746 75598 149492 151196 264593 298984 302392 529186 718181 1058372 1436362 2116744 2872724 5027267 5745448 10054534 10621519 20109068 21243038 40218136 42486076 74350633 84972152 148701266 201808861 297402532 403617722 594805064 807235444 1412662027 1614470888 2825324054 5650648108 11301296216