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164642157648 = 24321143348317
BaseRepresentation
bin1001100101010101101…
…1111111010001010000
3120201222012021012010200
42121111123333101100
510144141343021043
6203345140455200
714615662151343
oct2312533772120
9521865235120
10164642157648
1163908229991
1227aaa3aa500
13126aac27877
147d7c26645a
1544392ab7d3
hex26556ff450

164642157648 has 30 divisors (see below), whose sum is σ = 460769372154. Its totient is φ = 54880719168.

The previous prime is 164642157619. The next prime is 164642157671. The reversal of 164642157648 is 846751246461.

164642157648 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 4 + 21 + 576 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164569771584 + 72386064 = 405672^2 + 8508^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164642157594 and 164642157603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 571674015 + ... + 571674302.

Almost surely, 2164642157648 is an apocalyptic number.

164642157648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164642157648 is an abundant number, since it is smaller than the sum of its proper divisors (296127214506).

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

164642157648 is a wasteful number, since it uses less digits than its factorization.

164642157648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143348331 (or 1143348322 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 164642157648 in words is "one hundred sixty-four billion, six hundred forty-two million, one hundred fifty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1143348317 2286696634 3430044951 4573393268 6860089902 9146786536 10290134853 13720179804 18293573072 20580269706 27440359608 41160539412 54880719216 82321078824 164642157648