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13043384640 = 2636511131723
BaseRepresentation
bin11000010010111001…
…00100000101000000
31020200000102121000000
430021130210011000
5203203101302030
65554141000000
7641140640316
oct141134440500
936600377000
1013043384640
115593717a30
122640253000
1312cb381ca0
148ba4200b6
15515171860
hex309724140

13043384640 has 1568 divisors, whose sum is σ = 60446082816. Its totient is φ = 2627665920.

The previous prime is 13043384593. The next prime is 13043384713. The reversal of 13043384640 is 4648334031.

It is a happy number.

13043384640 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 3 + 3 + 8 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13043384595 and 13043384604.

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 567103669 + ... + 567103691.

Almost surely, 213043384640 is an apocalyptic number.

13043384640 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 13043384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30223041408).

13043384640 is an abundant number, since it is smaller than the sum of its proper divisors (47402698176).

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

13043384640 is a wasteful number, since it uses less digits than its factorization.

13043384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 13043384640 in words is "thirteen billion, forty-three million, three hundred eighty-four thousand, six hundred forty".