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168604139520 = 216335171959
BaseRepresentation
bin1001110100000110010…
…1110000000000000000
3121010012022102201112000
42131001211300000000
510230300124431040
6205242231504000
715116111353035
oct2350145600000
9533168381460
10168604139520
1165560706573
1228815228000
1312b8c9c783b
14823652138c
1545bc022130
hex2741970000

168604139520 has 1088 divisors, whose sum is σ = 679472064000. Its totient is φ = 39409680384.

The previous prime is 168604139513. The next prime is 168604139521. The reversal of 168604139520 is 25931406861.

168604139520 is a `hidden beast` number, since 1 + 6 + 8 + 604 + 1 + 39 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168604139521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2857697251 + ... + 2857697309.

Almost surely, 2168604139520 is an apocalyptic number.

168604139520 is a gapful number since it is divisible by the number (10) 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 168604139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339736032000).

168604139520 is an abundant number, since it is smaller than the sum of its proper divisors (510867924480).

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

168604139520 is an equidigital number, since it uses as much as digits as its factorization.

168604139520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 168604139520 in words is "one hundred sixty-eight billion, six hundred four million, one hundred thirty-nine thousand, five hundred twenty".