Search a number
-
+
12326556000 = 253531193383
BaseRepresentation
bin10110111101011100…
…00101000101100000
31011211001120220222010
423132232011011200
5200221044243000
65355052512520
7614314666023
oct133656050540
934731526863
1012326556000
115256023a70
12248017b740
1312159ccb25
1484d1451ba
154c2277d50
hex2deb85160

12326556000 has 192 divisors, whose sum is σ = 44053341696. Its totient is φ = 2988224000.

The previous prime is 12326555951. The next prime is 12326556007. The reversal of 12326556000 is 65562321.

It is a super-2 number, since 2×123265560002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12326556007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85309 + ... + 178691.

It is an arithmetic number, because the mean of its divisors is an integer number (229444488).

Almost surely, 212326556000 is an apocalyptic number.

12326556000 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 12326556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22026670848).

12326556000 is an abundant number, since it is smaller than the sum of its proper divisors (31726785696).

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

12326556000 is a wasteful number, since it uses less digits than its factorization.

12326556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93422 (or 93404 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 12326556000 in words is "twelve billion, three hundred twenty-six million, five hundred fifty-six thousand".