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2426205312 = 27311107
BaseRepresentation
bin1001000010011100…
…1111010010000000
320021002100000000000
42100213033102000
514432102032222
61040430000000
7114060255606
oct22047172200
96232300000
102426205312
111035590a63
12578646000
132c886265b
14190321876
15e30009ac
hex909cf480

2426205312 has 192 divisors, whose sum is σ = 7317928800. Its totient is φ = 801176832.

The previous prime is 2426205289. The next prime is 2426205317. The reversal of 2426205312 is 2135026242.

It is a happy number.

2426205312 is a `hidden beast` number, since 2 + 4 + 2 + 620 + 5 + 31 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2426205317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22674763 + ... + 22674869.

Almost surely, 22426205312 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 2426205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658964400).

2426205312 is an abundant number, since it is smaller than the sum of its proper divisors (4891723488).

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

2426205312 is an frugal number, since it uses more digits than its factorization.

2426205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2426205312 is about 49256.5255778359. The cubic root of 2426205312 is about 1343.7212432079.

The spelling of 2426205312 in words is "two billion, four hundred twenty-six million, two hundred five thousand, three hundred twelve".