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13472172896 = 257313263359
BaseRepresentation
bin11001000110000000…
…10000101101100000
31021202220021021220112
430203000100231200
5210042334013041
610104455230452
7654565403000
oct144300205540
937686237815
1013472172896
115793765996
12273b978428
131369162b50
1491b35a000
1553cb1edeb
hex323010b60

13472172896 has 192 divisors, whose sum is σ = 33530112000. Its totient is φ = 5294596608.

The previous prime is 13472172893. The next prime is 13472172899. The reversal of 13472172896 is 69827127431.

It is an interprime number because it is at equal distance from previous prime (13472172893) and next prime (13472172899).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13472172893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37526765 + ... + 37527123.

It is an arithmetic number, because the mean of its divisors is an integer number (174636000).

Almost surely, 213472172896 is an apocalyptic number.

13472172896 is a gapful number since it is divisible by the number (16) 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 13472172896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056000).

13472172896 is an abundant number, since it is smaller than the sum of its proper divisors (20057939104).

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

13472172896 is a wasteful number, since it uses less digits than its factorization.

13472172896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 644 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 50.

The spelling of 13472172896 in words is "thirteen billion, four hundred seventy-two million, one hundred seventy-two thousand, eight hundred ninety-six".