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1389123800064 = 210367112133
BaseRepresentation
bin10100001101101110001…
…110110000110000000000
311220210120102111121000000
4110031232032300300000
5140224411143100224
62542053224000000
7202234532323230
oct24155616606000
94823512447000
101389123800064
11496140197300
121a527a900000
13a0cbc537000
144b33bd63cc0
15262033c70c9
hex1436e3b0c00

1389123800064 has 1848 divisors, whose sum is σ = 5665739330720. Its totient is φ = 333056655360.

The previous prime is 1389123800063. The next prime is 1389123800147. The reversal of 1389123800064 is 4600083219831.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a junction number, because it is equal to n+sod(n) for n = 1389123799992 and 1389123800019.

It is not an unprimeable number, because it can be changed into a prime (1389123800063) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 106855676922 + ... + 106855676934.

Almost surely, 21389123800064 is an apocalyptic number.

1389123800064 is a gapful number since it is divisible by the number (14) 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 1389123800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832869665360).

1389123800064 is an abundant number, since it is smaller than the sum of its proper divisors (4276615530656).

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

1389123800064 is an frugal number, since it uses more digits than its factorization.

1389123800064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1389123800064 in words is "one trillion, three hundred eighty-nine billion, one hundred twenty-three million, eight hundred thousand, sixty-four".