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13483895040 = 28355711563
BaseRepresentation
bin11001000111011001…
…11110100100000000
31021210201022211200000
430203230332210000
5210103334120130
610105554400000
7655100134230
oct144354764400
937721284600
1013483895040
11579a341a10
122743890000
13136b708525
1491cb2bcc0
1553db88260
hex323b3e900

13483895040 has 864 divisors, whose sum is σ = 60426003456. Its totient is φ = 2796871680.

The previous prime is 13483895039. The next prime is 13483895041. The reversal of 13483895040 is 4059838431.

13483895040 is a `hidden beast` number, since 1 + 3 + 483 + 89 + 50 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13483895039) and next prime (13483895041).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13483895041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23949799 + ... + 23950361.

It is an arithmetic number, because the mean of its divisors is an integer number (69937504).

Almost surely, 213483895040 is an apocalyptic number.

13483895040 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 13483895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30213001728).

13483895040 is an abundant number, since it is smaller than the sum of its proper divisors (46942108416).

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

13483895040 is an equidigital number, since it uses as much as digits as its factorization.

13483895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13483895040 in words is "thirteen billion, four hundred eighty-three million, eight hundred ninety-five thousand, forty".