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13147799040 = 29335375397
BaseRepresentation
bin11000011111010101…
…10111111000000000
31020221021220101122000
430033222313320000
5203411314032130
610012350544000
7643546306425
oct141752677000
936837811560
1013147799040
115637654022
12266b208000
131316bacb5c
148ca23dd4c
1551e3e9260
hex30fab7e00

13147799040 has 640 divisors, whose sum is σ = 49373089920. Its totient is φ = 3312451584.

The previous prime is 13147799039. The next prime is 13147799053. The reversal of 13147799040 is 4099774131.

13147799040 is a `hidden beast` number, since 131 + 477 + 9 + 9 + 0 + 40 = 666.

13147799040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 135544272 + ... + 135544368.

It is an arithmetic number, because the mean of its divisors is an integer number (77145453).

Almost surely, 213147799040 is an apocalyptic number.

13147799040 is a gapful number since it is divisible by the number (10) 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 13147799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24686544960).

13147799040 is an abundant number, since it is smaller than the sum of its proper divisors (36225290880).

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

13147799040 is an equidigital number, since it uses as much as digits as its factorization.

13147799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 13147799040 in words is "thirteen billion, one hundred forty-seven million, seven hundred ninety-nine thousand, forty".