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14075918604 = 2232111761151227
BaseRepresentation
bin11010001101111110…
…10111100100001100
31100022222022202022200
431012333113210030
5212311413343404
610244423441500
71005546222366
oct150677274414
940288282280
1014075918604
115a73541a90
122889bb6290
131434270627
149775d9d36
15575b2c839
hex346fd790c

14075918604 has 288 divisors, whose sum is σ = 42234296832. Its totient is φ = 3905280000.

The previous prime is 14075918581. The next prime is 14075918639. The reversal of 14075918604 is 40681957041.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14075918604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62008339 + ... + 62008565.

It is an arithmetic number, because the mean of its divisors is an integer number (146646864).

Almost surely, 214075918604 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 14075918604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21117148416).

14075918604 is an abundant number, since it is smaller than the sum of its proper divisors (28158378228).

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

14075918604 is a wasteful number, since it uses less digits than its factorization.

14075918604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 14075918604 in words is "fourteen billion, seventy-five million, nine hundred eighteen thousand, six hundred four".