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12023570004480 = 293251938970607
BaseRepresentation
bin1010111011110111010010…
…0111100111101000000000
31120120102221021012101112100
42232331310213213220000
53033443232410120410
641323315105030400
72350450162521516
oct256756447475000
946512837171470
1012023570004480
1139161928a5051
1214222b9325400
13692a828a46b8
142d7d300864b6
1515cb622c58c0
hexaef749e7a00

12023570004480 has 480 divisors, whose sum is σ = 43945939065600. Its totient is φ = 3029681995776.

The previous prime is 12023570004419. The next prime is 12023570004527. The reversal of 12023570004480 is 8440007532021.

It is a happy number.

12023570004480 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 3 + 570 + 0 + 0 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170253337 + ... + 170323943.

It is an arithmetic number, because the mean of its divisors is an integer number (91554039720).

Almost surely, 212023570004480 is an apocalyptic number.

12023570004480 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 12023570004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21972969532800).

12023570004480 is an abundant number, since it is smaller than the sum of its proper divisors (31922369061120).

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

12023570004480 is a wasteful number, since it uses less digits than its factorization.

12023570004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71044 (or 71025 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12023570004480 in words is "twelve trillion, twenty-three billion, five hundred seventy million, four thousand, four hundred eighty".