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13909238208 = 2632431493769
BaseRepresentation
bin11001111010000111…
…00010000111000000
31022220100200111210200
430331003202013000
5211441231110313
610220111125200
71001453400615
oct147503420700
938810614720
1013909238208
115998447598
122842213800
131408881288
1495d40c50c
155661a5b73
hex33d0e21c0

13909238208 has 168 divisors, whose sum is σ = 41080182000. Its totient is φ = 4497002496.

The previous prime is 13909238171. The next prime is 13909238219. The reversal of 13909238208 is 80283290931.

13909238208 is a `hidden beast` number, since 1 + 390 + 9 + 238 + 20 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3688548 + ... + 3692316.

Almost surely, 213909238208 is an apocalyptic number.

13909238208 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 13909238208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20540091000).

13909238208 is an abundant number, since it is smaller than the sum of its proper divisors (27170943792).

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

13909238208 is a wasteful number, since it uses less digits than its factorization.

13909238208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13909238208 in words is "thirteen billion, nine hundred nine million, two hundred thirty-eight thousand, two hundred eight".