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164644415616540 = 223518115160627589
BaseRepresentation
bin100101011011111001000011…
…111010000011011000011100
3210120221212000102001220100010
4211123321003322003120130
5133040013230344212130
61342100333402203220
746452111050512416
oct4533710372033034
9716855012056303
10164644415616540
1148508339387552
12165712357b3510
1370b3b9526ca62
142c92b9191b9b6
151407ba46530b0
hex95be43e8361c

164644415616540 has 48 divisors (see below), whose sum is σ = 463551349191840. Its totient is φ = 43662607453440.

The previous prime is 164644415616433. The next prime is 164644415616547. The reversal of 164644415616540 is 45616514446461.

164644415616540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164644415616547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7580302935 + ... + 7580324654.

It is an arithmetic number, because the mean of its divisors is an integer number (9657319774830).

Almost surely, 2164644415616540 is an apocalyptic number.

164644415616540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164644415616540 is an abundant number, since it is smaller than the sum of its proper divisors (298906933575300).

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

164644415616540 is a wasteful number, since it uses less digits than its factorization.

164644415616540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15160627782 (or 15160627780 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 57.

The spelling of 164644415616540 in words is "one hundred sixty-four trillion, six hundred forty-four billion, four hundred fifteen million, six hundred sixteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 15160627589 30321255178 45481882767 60642510356 75803137945 90963765534 151606275890 181927531068 227409413835 303212551780 454818827670 909637655340 2744073593609 5488147187218 8232220780827 10976294374436 13720367968045 16464441561654 27440735936090 32928883123308 41161103904135 54881471872180 82322207808270 164644415616540