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13984652951808 = 28371117131106189
BaseRepresentation
bin1100101110000000111001…
…0001011000000100000000
31211111220211111202010110020
43023200032101120010000
53313111032123424213
645424243314333440
72642233510526610
oct313401621300400
954456744663406
1013984652951808
114501949015190
12169a39bb8a280
137a5993546446
14364c0a108a40
15193b8d8d4923
hexcb80e458100

13984652951808 has 576 divisors, whose sum is σ = 49508775106560. Its totient is φ = 3392579174400.

The previous prime is 13984652951783. The next prime is 13984652951809. The reversal of 13984652951808 is 80815925648931.

It is not an unprimeable number, because it can be changed into a prime (13984652951809) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131642778 + ... + 131748966.

It is an arithmetic number, because the mean of its divisors is an integer number (85952734560).

Almost surely, 213984652951808 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 13984652951808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24754387553280).

13984652951808 is an abundant number, since it is smaller than the sum of its proper divisors (35524122154752).

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

13984652951808 is a wasteful number, since it uses less digits than its factorization.

13984652951808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106374 (or 106360 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 69.

The spelling of 13984652951808 in words is "thirteen trillion, nine hundred eighty-four billion, six hundred fifty-two million, nine hundred fifty-one thousand, eight hundred eight".