Search a number
-
+
161301878340318 = 236377741386263
BaseRepresentation
bin100100101011010000000101…
…001010001111101011011110
3210011010022100020111002000000
4210223100011022033223132
5132120232221323342233
61331021020540115130
745655450625451252
oct4453200512175336
9704108306432000
10161301878340318
1147439819212341
1216111474835aa6
136c00917caa731
142bb90a4360262
15139ac73127d13
hex92b40528fade

161301878340318 has 112 divisors (see below), whose sum is σ = 372616784556576. Its totient is φ = 52307229228480.

The previous prime is 161301878340307. The next prime is 161301878340329. The reversal of 161301878340318 is 813043878103161.

161301878340318 is a `hidden beast` number, since 1 + 6 + 1 + 30 + 187 + 83 + 40 + 318 = 666.

It is an interprime number because it is at equal distance from previous prime (161301878340307) and next prime (161301878340329).

It is a super-2 number, since 2×1613018783403182 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 417402855 + ... + 417789117.

It is an arithmetic number, because the mean of its divisors is an integer number (3326935576398).

Almost surely, 2161301878340318 is an apocalyptic number.

161301878340318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161301878340318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186308392278288).

161301878340318 is an abundant number, since it is smaller than the sum of its proper divisors (211314906216258).

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

161301878340318 is an equidigital number, since it uses as much as digits as its factorization.

161301878340318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394061 (or 394046 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 161301878340318 in words is "one hundred sixty-one trillion, three hundred one billion, eight hundred seventy-eight million, three hundred forty thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 729 999 1458 1998 2997 5994 7741 8991 15482 17982 23223 26973 46446 53946 69669 139338 209007 286417 386263 418014 572834 627021 772526 859251 1158789 1254042 1718502 1881063 2317578 2577753 3476367 3762126 5155506 5643189 6952734 7733259 10429101 11286378 14291731 15466518 20858202 23199777 28583462 31287303 42875193 46399554 62574606 69599331 85750386 93861909 128625579 139198662 187723818 208797993 257251158 281585727 385876737 417595986 563171454 771753474 1157630211 2315260422 2990061883 3472890633 5980123766 6945781266 8970185649 10418671899 17940371298 20837343798 26910556947 53821113894 80731670841 110632289671 161463341682 221264579342 242195012523 331896869013 484390025046 663793738026 726585037569 995690607039 1453170075138 1991381214078 2179755112707 2987071821117 4359510225414 5974143642234 8961215463351 17922430926702 26883646390053 53767292780106 80650939170159 161301878340318