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165162227226156 = 223241732567959693
BaseRepresentation
bin100101100011011011010011…
…111000100101011000101100
3210122210100120120222010120200
4211203123103320211120230
5133122004220132214111
61343134251342113500
746534401646542066
oct4543332370453054
9718710516863520
10165162227226156
11486979a8553976
121663566787b890
13712096759a1b4
142cadc7452c736
1514163add2a256
hex9636d3e2562c

165162227226156 has 144 divisors (see below), whose sum is σ = 433558897349760. Its totient is φ = 52972571842560.

The previous prime is 165162227226121. The next prime is 165162227226233. The reversal of 165162227226156 is 651622722261561.

165162227226156 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 62 + 2 + 272 + 261 + 56 = 666.

165162227226156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1651622272261562 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2766831046 + ... + 2766890738.

It is an arithmetic number, because the mean of its divisors is an integer number (3010825676040).

Almost surely, 2165162227226156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165162227226156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216779448674880).

165162227226156 is an abundant number, since it is smaller than the sum of its proper divisors (268396670123604).

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

165162227226156 is a wasteful number, since it uses less digits than its factorization.

165162227226156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85496 (or 85491 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 165162227226156 in words is "one hundred sixty-five trillion, one hundred sixty-two billion, two hundred twenty-seven million, two hundred twenty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 73 82 123 146 164 219 246 292 369 438 492 657 738 876 1314 1476 2628 2993 5986 8979 11972 17958 25679 26937 35916 51358 53874 59693 77037 102716 107748 119386 154074 179079 231111 238772 308148 358158 462222 537237 716316 924444 1052839 1074474 1874567 2105678 2148948 2447413 3158517 3749134 4211356 4357589 4894826 5623701 6317034 7342239 7498268 8715178 9475551 9789652 11247402 12634068 13072767 14684478 16871103 17430356 18951102 22026717 22494804 26145534 29368956 33742206 37902204 39218301 44053434 52291068 67484412 76857247 78436602 88106868 153714494 156873204 178661149 230571741 307428988 357322298 461143482 535983447 691715223 714644596 922286964 1071966894 1383430446 1532856547 1607950341 2143933788 2766860892 3065713094 3215900682 4598569641 6131426188 6431801364 9197139282 13795708923 18394278564 27591417846 55182835692 62847118427 111898527931 125694236854 188541355281 223797055862 251388473708 335695583793 377082710562 447594111724 565624065843 671391167586 754165421124 1007086751379 1131248131686 1342782335172 2014173502758 2262496263372 4028347005516 4587839645171 9175679290342 13763518935513 18351358580684 27527037871026 41290556806539 55054075742052 82581113613078 165162227226156