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389032136064 = 273311133167379
BaseRepresentation
bin1011010100101000001…
…11110100110110000000
31101012011022121011011000
411222110013310312000
522333214211323224
6454415140452000
740051402411215
oct5522407646600
91335138534130
10389032136064
1113aa95553940
12634920aa000
132a8bb286020
1414b87699b0c
15a1bdaa60c9
hex5a941f4d80

389032136064 has 1024 divisors, whose sum is σ = 1416941568000. Its totient is φ = 103464345600.

The previous prime is 389032136063. The next prime is 389032136069. The reversal of 389032136064 is 460631230983.

389032136064 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 32 + 1 + 3 + 606 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389032136063) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1026469827 + ... + 1026470205.

It is an arithmetic number, because the mean of its divisors is an integer number (1383732000).

Almost surely, 2389032136064 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 389032136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708470784000).

389032136064 is an abundant number, since it is smaller than the sum of its proper divisors (1027909431936).

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

389032136064 is a wasteful number, since it uses less digits than its factorization.

389032136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 389032136064 in words is "three hundred eighty-nine billion, thirty-two million, one hundred thirty-six thousand, sixty-four".