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689208596160 = 263571931241137
BaseRepresentation
bin10100000011110000000…
…10001001011011000000
32102212222010120021122020
422001320002021123000
542242444400034120
61244341300041440
7100536142256520
oct12017002113300
92385863507566
10689208596160
11246323315227
12b16a6693280
134ccb8819496
1425502013680
1512ddb9be640
hexa0780896c0

689208596160 has 1344 divisors, whose sum is σ = 2806807127040. Its totient is φ = 139876761600.

The previous prime is 689208596113. The next prime is 689208596177. The reversal of 689208596160 is 61695802986.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 689208596094 and 689208596103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5030719612 + ... + 5030719748.

It is an arithmetic number, because the mean of its divisors is an integer number (2088398160).

Almost surely, 2689208596160 is an apocalyptic number.

689208596160 is a gapful number since it is divisible by the number (60) 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 689208596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403403563520).

689208596160 is an abundant number, since it is smaller than the sum of its proper divisors (2117598530880).

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

689208596160 is a wasteful number, since it uses less digits than its factorization.

689208596160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 689208596160 in words is "six hundred eighty-nine billion, two hundred eight million, five hundred ninety-six thousand, one hundred sixty".