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162144564221145 = 35111277963971713
BaseRepresentation
bin100100110111100000111001…
…001001110001010011011001
3210021002212110110122020022210
4210313200321021301103121
5132223034031420034040
61332504103503105333
746103362312323402
oct4467407111612331
9707085413566283
10162144564221145
114773413a4480a0
12162288525a2249
136c622225bb64c
142c07ba588c9a9
1513b2b43ae8480
hex9378392714d9

162144564221145 has 64 divisors (see below), whose sum is σ = 285280553631744. Its totient is φ = 77986651115520.

The previous prime is 162144564221047. The next prime is 162144564221149. The reversal of 162144564221145 is 541122465441261.

It is not a de Polignac number, because 162144564221145 - 28 = 162144564220889 is a prime.

It is a super-2 number, since 2×1621445642211452 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 162144564221094 and 162144564221103.

It is not an unprimeable number, because it can be changed into a prime (162144564221149) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 166378809 + ... + 167350521.

It is an arithmetic number, because the mean of its divisors is an integer number (4457508650496).

Almost surely, 2162144564221145 is an apocalyptic number.

162144564221145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

162144564221145 is a deficient number, since it is larger than the sum of its proper divisors (123135989410599).

162144564221145 is a wasteful number, since it uses less digits than its factorization.

162144564221145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979822.

The product of its digits is 1843200, while the sum is 48.

The spelling of 162144564221145 in words is "one hundred sixty-two trillion, one hundred forty-four billion, five hundred sixty-four million, two hundred twenty-one thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 127 165 381 635 1397 1905 4191 6985 7963 20955 23889 39815 87593 119445 262779 437965 971713 1011301 1313895 2915139 3033903 4858565 5056505 10688843 11124311 14575695 15169515 32066529 33372933 53444215 55621555 123407551 160332645 166864665 370222653 617037755 1357483061 1851113265 4072449183 6787415305 7737750619 20362245915 23213251857 38688753095 85115256809 116066259285 255345770427 425576284045 982694328613 1276728852135 2948082985839 4913471643065 10809637614743 14740414929195 32428912844229 54048188073715 162144564221145