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BaseRepresentation
bin11001000110110011…
…01000111110110000
31021210100210022010020
430203121220332300
5210101034412104
610105254003440
7655006062345
oct144331507660
937710708106
1013478825904
11579749a445
122742046580
13136a65213b
1491c1ac7cc
1553d4d62d9
hex323668fb0

13478825904 has 120 divisors (see below), whose sum is σ = 37990189008. Its totient is φ = 4114206720.

The previous prime is 13478825903. The next prime is 13478825909. The reversal of 13478825904 is 40952887431.

It is a happy number.

13478825904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (13478825903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500134 + ... + 526394.

Almost surely, 213478825904 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 13478825904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995094504).

13478825904 is an abundant number, since it is smaller than the sum of its proper divisors (24511363104).

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

13478825904 is a wasteful number, since it uses less digits than its factorization.

13478825904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26343 (or 26320 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 13478825904 in words is "thirteen billion, four hundred seventy-eight million, eight hundred twenty-five thousand, nine hundred four".