Search a number
-
+
12337711104 = 211317196217
BaseRepresentation
bin10110111110110001…
…01000100000000000
31011211211120122220010
423133120220200000
5200231423223404
65400131544520
7614511546135
oct133730504000
934754518803
1012337711104
115261352a64
122483a5b140
131218107394
1485080a58c
154c322d189
hex2df628800

12337711104 has 192 divisors, whose sum is σ = 36666302400. Its totient is φ = 3666345984.

The previous prime is 12337711091. The next prime is 12337711147. The reversal of 12337711104 is 40111773321.

It is a tau number, because it is divible by the number of its divisors (192).

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, 1981404 + ... + 1987620.

It is an arithmetic number, because the mean of its divisors is an integer number (190970325).

Almost surely, 212337711104 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 12337711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18333151200).

12337711104 is an abundant number, since it is smaller than the sum of its proper divisors (24328591296).

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

12337711104 is a wasteful number, since it uses less digits than its factorization.

12337711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 12337711104 in words is "twelve billion, three hundred thirty-seven million, seven hundred eleven thousand, one hundred four".