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13313849472 = 273671117109
BaseRepresentation
bin11000110011001000…
…10011100010000000
31021100212100122000000
430121210103202000
5204231321140342
610041042000000
7650633565450
oct143144234200
937325318000
1013313849472
115712359190
1226b6946000
13134240b551
14904305d60
1552dc9944c
hex319913880

13313849472 has 896 divisors, whose sum is σ = 52978147200. Its totient is φ = 3224862720.

The previous prime is 13313849449. The next prime is 13313849533. The reversal of 13313849472 is 27494831331.

13313849472 is a `hidden beast` number, since 1 + 3 + 3 + 138 + 49 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 122145354 + ... + 122145462.

Almost surely, 213313849472 is an apocalyptic number.

13313849472 is a gapful number since it is divisible by the number (12) 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 13313849472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26489073600).

13313849472 is an abundant number, since it is smaller than the sum of its proper divisors (39664297728).

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

13313849472 is a wasteful number, since it uses less digits than its factorization.

13313849472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 13313849472 in words is "thirteen billion, three hundred thirteen million, eight hundred forty-nine thousand, four hundred seventy-two".