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13748213808 = 243373314173
BaseRepresentation
bin11001100110111010…
…10001100000110000
31022111010200121212000
430303131101200300
5211124020320213
610152115534000
7664456614000
oct146335214060
938433617760
1013748213808
11591556557a
1227b82ba300
1313b13c2474
14945c94000
15556e99c73
hex333751830

13748213808 has 640 divisors, whose sum is σ = 49330176000. Its totient is φ = 3657830400.

The previous prime is 13748213783. The next prime is 13748213851. The reversal of 13748213808 is 80831284731.

13748213808 is a `hidden beast` number, since 1 + 37 + 482 + 138 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188331660 + ... + 188331732.

It is an arithmetic number, because the mean of its divisors is an integer number (77078400).

Almost surely, 213748213808 is an apocalyptic number.

13748213808 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 13748213808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24665088000).

13748213808 is an abundant number, since it is smaller than the sum of its proper divisors (35581962192).

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

13748213808 is a wasteful number, since it uses less digits than its factorization.

13748213808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13748213808 in words is "thirteen billion, seven hundred forty-eight million, two hundred thirteen thousand, eight hundred eight".