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168674490000 = 243254374
BaseRepresentation
bin1001110100010111001…
…0000111011010010000
3121010101012210220020100
42131011302013122100
510230421132140000
6205253223412400
715120624336342
oct2350562073220
9533335726210
10168674490000
1165597396965
12288348b4100
1312ba1459a43
1482419d5292
1545c32bba00
hex2745c87690

168674490000 has 375 divisors, whose sum is σ = 606264576203. Its totient is φ = 43764192000.

The previous prime is 168674489989. The next prime is 168674490001. The reversal of 168674490000 is 94476861.

The square root of 168674490000 is 410700.

It is a perfect power (a square), and thus also a powerful number.

168674490000 is a `hidden beast` number, since 16 + 86 + 74 + 490 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 110705260176 + 57969229824 = 332724^2 + 240768^2 .

It is a tau number, because it is divible by the number of its divisors (375).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168674490001) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 4558769982 + ... + 4558770018.

Almost surely, 2168674490000 is an apocalyptic number.

168674490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168674490000 is the 410700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168674490000

168674490000 is an abundant number, since it is smaller than the sum of its proper divisors (437590086203).

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

168674490000 is an frugal number, since it uses more digits than its factorization.

168674490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 168674490000 in words is "one hundred sixty-eight billion, six hundred seventy-four million, four hundred ninety thousand".