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14135652468 = 223472927411
BaseRepresentation
bin11010010101000110…
…01111000001110100
31100111010201112210000
431022203033001310
5212422211334333
610254400031300
71010203030530
oct151243170164
940433645700
1014135652468
115aa4230a13
1228a6002530
131443756402
14981508bc0
1557aecb713
hex34a8cf074

14135652468 has 180 divisors, whose sum is σ = 43744853152. Its totient is φ = 3898964160.

The previous prime is 14135652449. The next prime is 14135652469. The reversal of 14135652468 is 86425653141.

14135652468 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 565 + 24 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14135652469) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1903683 + ... + 1911093.

Almost surely, 214135652468 is an apocalyptic number.

14135652468 is a gapful number since it is divisible by the number (18) 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 14135652468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21872426576).

14135652468 is an abundant number, since it is smaller than the sum of its proper divisors (29609200684).

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

14135652468 is a wasteful number, since it uses less digits than its factorization.

14135652468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492 (or 7452 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 14135652468 in words is "fourteen billion, one hundred thirty-five million, six hundred fifty-two thousand, four hundred sixty-eight".