Search a number
-
+
12926465760 = 2535135935111
BaseRepresentation
bin11000000100111101…
…00011011011100000
31020100212102111110010
430002132203123200
5202433133401020
65534403004520
7635221101045
oct140236433340
936325374403
1012926465760
11553372005a
122609069740
1312b0096610
148a8aa71cc
15509c78de0
hex3027a36e0

12926465760 has 192 divisors, whose sum is σ = 44595048960. Its totient is φ = 3127879680.

The previous prime is 12926465753. The next prime is 12926465779. The reversal of 12926465760 is 6756462921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350605 + ... + 385715.

It is an arithmetic number, because the mean of its divisors is an integer number (232265880).

Almost surely, 212926465760 is an apocalyptic number.

12926465760 is a gapful number since it is divisible by the number (10) 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 12926465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297524480).

12926465760 is an abundant number, since it is smaller than the sum of its proper divisors (31668583200).

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

12926465760 is a wasteful number, since it uses less digits than its factorization.

12926465760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35201 (or 35193 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 12926465760 in words is "twelve billion, nine hundred twenty-six million, four hundred sixty-five thousand, seven hundred sixty".