Search a number
-
+
168498536544 = 253213231956737
BaseRepresentation
bin1001110011101101001…
…0111010000001100000
3121002220221201112110200
42130323102322001200
510230041111132134
6205223540225200
715113356633452
oct2347322720140
9532827645420
10168498536544
1165507038488
12287a599b200
1312b73b71980
1482264b22d2
1545b2b12499
hex273b4ba060

168498536544 has 144 divisors (see below), whose sum is σ = 538462989792. Its totient is φ = 49591517184.

The previous prime is 168498536543. The next prime is 168498536561. The reversal of 168498536544 is 445635894861.

168498536544 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 9 + 85 + 3 + 6 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168498536543) 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 23 ways as a sum of consecutive naturals, for example, 892257 + ... + 1064480.

It is an arithmetic number, because the mean of its divisors is an integer number (3739326318).

Almost surely, 2168498536544 is an apocalyptic number.

It is an amenable number.

168498536544 is an abundant number, since it is smaller than the sum of its proper divisors (369964453248).

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

168498536544 is a wasteful number, since it uses less digits than its factorization.

168498536544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956789 (or 1956778 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 168498536544 in words is "one hundred sixty-eight billion, four hundred ninety-eight million, five hundred thirty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 736 828 897 936 1104 1196 1248 1656 1794 1872 2208 2392 2691 3312 3588 3744 4784 5382 6624 7176 9568 10764 14352 21528 28704 43056 86112 1956737 3913474 5870211 7826948 11740422 15653896 17610633 23480844 25437581 31307792 35221266 45004951 46961688 50875162 62615584 70442532 76312743 90009902 93923376 101750324 135014853 140885064 152625486 180019804 187846752 203500648 228938229 270029706 281770128 305250972 360039608 405044559 407001296 457876458 540059412 563540256 585064363 610501944 720079216 810089118 814002592 915752916 1080118824 1170128726 1221003888 1440158432 1620178236 1755193089 1831505832 2160237648 2340257452 2442007776 3240356472 3510386178 3663011664 4320475296 4680514904 5265579267 6480712944 7020772356 7326023328 9361029808 10531158534 12961425888 14041544712 18722059616 21062317068 28083089424 42124634136 56166178848 84249268272 168498536544