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239989356053064 = 2333319710310932911
BaseRepresentation
bin110110100100010011100000…
…010100010100001001001000
31011110201202110212002112122000
4312210103200110110021020
5222423441200122144224
62210225331013031000
7101356441652333142
oct6644234024241110
91143652425075560
10239989356053064
116a516a06a89562
1222abb665925460
13a3bab8c624397
144339792633c92
151cb2a195ee0c9
hexda44e0514248

239989356053064 has 512 divisors, whose sum is σ = 708447387648000. Its totient is φ = 75175581081600.

The previous prime is 239989356053059. The next prime is 239989356053089. The reversal of 239989356053064 is 460350653989932.

239989356053064 is a `hidden beast` number, since 2 + 3 + 9 + 9 + 8 + 9 + 3 + 5 + 605 + 3 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 239989356052983 and 239989356053001.

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 127 ways as a sum of consecutive naturals, for example, 7292054769 + ... + 7292087679.

It is an arithmetic number, because the mean of its divisors is an integer number (1383686304000).

Almost surely, 2239989356053064 is an apocalyptic number.

239989356053064 is a gapful number since it is divisible by the number (24) 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 239989356053064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354223693824000).

239989356053064 is an abundant number, since it is smaller than the sum of its proper divisors (468458031594936).

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

239989356053064 is a wasteful number, since it uses less digits than its factorization.

239989356053064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33266 (or 33256 counting only the distinct ones).

The product of its (nonzero) digits is 1133740800, while the sum is 72.

The spelling of 239989356053064 in words is "two hundred thirty-nine trillion, nine hundred eighty-nine billion, three hundred fifty-six million, fifty-three thousand, sixty-four".