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13804674048 = 2103311192389
BaseRepresentation
bin11001101101101001…
…01001110000000000
31022122001221002202000
430312310221300000
5211232444032143
610201454024000
7666043536054
oct146664516000
938561832660
1013804674048
115944418a30
1228131a8000
1313c00001a9
1494d58dc64
1555bdedbd3
hex336d29c00

13804674048 has 352 divisors, whose sum is σ = 46966368000. Its totient is φ = 3961405440.

The previous prime is 13804674007. The next prime is 13804674053. The reversal of 13804674048 is 84047640831.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 13804673994 and 13804674012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5777238 + ... + 5779626.

Almost surely, 213804674048 is an apocalyptic number.

13804674048 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 13804674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23483184000).

13804674048 is an abundant number, since it is smaller than the sum of its proper divisors (33161693952).

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

13804674048 is a wasteful number, since it uses less digits than its factorization.

13804674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13804674048 in words is "thirteen billion, eight hundred four million, six hundred seventy-four thousand, forty-eight".