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684025693832 = 231373751119971
BaseRepresentation
bin10011111010000110001…
…10111100011010001000
32102101120221000120020202
421331003012330122020
542201341034200312
61242123112311332
7100263536315225
oct11750306743210
92371527016222
10684025693832
11244103742a78
12b069a9a2548
134c670b0b980
142516d94094c
1512bd69899c2
hex9f431bc688

684025693832 has 64 divisors (see below), whose sum is σ = 1402002389760. Its totient is φ = 310962240000.

The previous prime is 684025693831. The next prime is 684025693837. The reversal of 684025693832 is 238396520486.

It is a super-2 number, since 2×6840256938322 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (684025693831) 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 15 ways as a sum of consecutive naturals, for example, 5641607 + ... + 5761577.

It is an arithmetic number, because the mean of its divisors is an integer number (21906287340).

Almost surely, 2684025693832 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 684025693832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701001194880).

684025693832 is an abundant number, since it is smaller than the sum of its proper divisors (717976695928).

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

684025693832 is a wasteful number, since it uses less digits than its factorization.

684025693832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120814 (or 120810 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 56.

The spelling of 684025693832 in words is "six hundred eighty-four billion, twenty-five million, six hundred ninety-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 751 949 1502 1898 3004 3796 6008 7592 9763 19526 39052 54823 78104 109646 119971 219292 239942 438584 479884 712699 959768 1425398 1559623 2850796 3119246 5701592 6238492 8757883 12476984 17515766 35031532 70063064 90098221 113852479 180196442 227704958 360392884 455409916 720785768 910819832 1171276873 2342553746 4685107492 6577170133 9370214984 13154340266 26308680532 52617361064 85503211729 171006423458 342012846916 684025693832