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389688391680 = 2113573311193
BaseRepresentation
bin1011010101110110011…
…11001111100000000000
31101020212001110101121120
411222323033033200000
522341040212013210
6455004222352240
740103561451000
oct5527317174000
91336761411546
10389688391680
111402a1a35455
1263635a2b680
132a99421a463
1414c0a8c8000
15a20b4d7270
hex5abb3cf800

389688391680 has 768 divisors, whose sum is σ = 1502032896000. Its totient is φ = 86126100480.

The previous prime is 389688391661. The next prime is 389688391681. The reversal of 389688391680 is 86193886983.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3896883916802 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389688391681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326645164 + ... + 326646356.

It is an arithmetic number, because the mean of its divisors is an integer number (1955772000).

Almost surely, 2389688391680 is an apocalyptic number.

389688391680 is a gapful number since it is divisible by the number (30) 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 389688391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751016448000).

389688391680 is an abundant number, since it is smaller than the sum of its proper divisors (1112344504320).

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

389688391680 is a wasteful number, since it uses less digits than its factorization.

389688391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 69.

The spelling of 389688391680 in words is "three hundred eighty-nine billion, six hundred eighty-eight million, three hundred ninety-one thousand, six hundred eighty".