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167728422160020 = 223523773117590279
BaseRepresentation
bin100110001000110001010001…
…000001011000011010010100
3210222212200101010110202012110
4212020301101001120122110
5133441030302033110040
61352421212353351020
750220656442560061
oct4610612101303224
9728780333422173
10167728422160020
1149497251702767
121698aa85268470
137278950ca7647
142d5c155727c68
15145d003e7e980
hex988c51058694

167728422160020 has 48 divisors (see below), whose sum is σ = 469659341208960. Its totient is φ = 44725697417856.

The previous prime is 167728422159997. The next prime is 167728422160043. The reversal of 167728422160020 is 20061224827761.

167728422160020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (167728422159997) and next prime (167728422160043).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57368760 + ... + 60221519.

It is an arithmetic number, because the mean of its divisors is an integer number (9784569608520).

Almost surely, 2167728422160020 is an apocalyptic number.

167728422160020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167728422160020 is an abundant number, since it is smaller than the sum of its proper divisors (301930919048940).

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

167728422160020 is a wasteful number, since it uses less digits than its factorization.

167728422160020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117614064 (or 117614062 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

Adding to 167728422160020 its reverse (20061224827761), we get a palindrome (187789646987781).

The spelling of 167728422160020 in words is "one hundred sixty-seven trillion, seven hundred twenty-eight billion, four hundred twenty-two million, one hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 23773 47546 71319 95092 118865 142638 237730 285276 356595 475460 713190 1426380 117590279 235180558 352770837 470361116 587951395 705541674 1175902790 1411083348 1763854185 2351805580 3527708370 7055416740 2795473702667 5590947405334 8386421108001 11181894810668 13977368513335 16772842216002 27954737026670 33545684432004 41932105540005 55909474053340 83864211080010 167728422160020