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389562421248 = 21235711131723
BaseRepresentation
bin1011010101100111011…
…10101101000000000000
31101020112021102102200000
411222303232231000000
522340310434434443
6454543522400000
740100501642160
oct5526356550000
91336467372600
10389562421248
11140237915a60
12635bb800000
132a9740b2b40
1414bd7c965a0
15a2004028d3
hex5ab3bad000

389562421248 has 2496 divisors, whose sum is σ = 1731096686592. Its totient is φ = 84085309440.

The previous prime is 389562421211. The next prime is 389562421253. The reversal of 389562421248 is 842124265983.

389562421248 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 624 + 2 + 1 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 389562421194 and 389562421203.

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 191 ways as a sum of consecutive naturals, for example, 16937496565 + ... + 16937496587.

It is an arithmetic number, because the mean of its divisors is an integer number (693548352).

Almost surely, 2389562421248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389562421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865548343296).

389562421248 is an abundant number, since it is smaller than the sum of its proper divisors (1341534265344).

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

389562421248 is a wasteful number, since it uses less digits than its factorization.

389562421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 389562421248 in words is "three hundred eighty-nine billion, five hundred sixty-two million, four hundred twenty-one thousand, two hundred forty-eight".