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169041686480 = 245157111712049
BaseRepresentation
bin1001110101101110101…
…0110110111111010000
3121011022210202102002222
42131123222312333100
510232144132431410
6205353502000212
715133003425122
oct2353352667720
9534283672088
10169041686480
1165765697027
1228917876068
1312c2c554274
14827869b212
1545e5650955
hex275bab6fd0

169041686480 has 80 divisors (see below), whose sum is σ = 395912197200. Its totient is φ = 67120275456.

The previous prime is 169041686467. The next prime is 169041686507. The reversal of 169041686480 is 84686140961.

It can be written as a sum of positive squares in 8 ways, for example, as 21812926864 + 147228759616 = 147692^2 + 383704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1690416864802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14023496 + ... + 14035544.

It is an arithmetic number, because the mean of its divisors is an integer number (4948902465).

Almost surely, 2169041686480 is an apocalyptic number.

169041686480 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 169041686480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197956098600).

169041686480 is an abundant number, since it is smaller than the sum of its proper divisors (226870510720).

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

169041686480 is a wasteful number, since it uses less digits than its factorization.

169041686480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13336 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 53.

The spelling of 169041686480 in words is "one hundred sixty-nine billion, forty-one million, six hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1117 1256 1570 2234 2512 3140 4468 5585 6280 8936 11170 12049 12560 17872 22340 24098 44680 48196 60245 89360 96392 120490 175369 192784 240980 350738 481960 701476 876845 963920 1402952 1753690 1891693 2805904 3507380 3783386 7014760 7566772 9458465 13458733 14029520 15133544 18916930 26917466 30267088 37833860 53834932 67293665 75667720 107669864 134587330 151335440 215339728 269174660 538349320 1076698640 2113021081 4226042162 8452084324 10565105405 16904168648 21130210810 33808337296 42260421620 84520843240 169041686480