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162631012142214 = 23371199739230489
BaseRepresentation
bin100100111110100101111011…
…101101010100110010000110
3210022211101001212020000012000
4210332211323231110302012
5132304021303102022324
61333515353334210130
746153463042404620
oct4476457355246206
9708741055200160
10162631012142214
1147901474633060
12162a6b90ab3946
136c99066b79bb5
142c23550cb5c10
1513c0614ac59c9
hex93e97bb54c86

162631012142214 has 128 divisors (see below), whose sum is σ = 451031374310400. Its totient is φ = 42199451331840.

The previous prime is 162631012142197. The next prime is 162631012142239. The reversal of 162631012142214 is 412241210136261.

162631012142214 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 310 + 121 + 4 + 2 + 214 = 666.

It is a super-2 number, since 2×1626310121422142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15469719 + ... + 23760770.

It is an arithmetic number, because the mean of its divisors is an integer number (3523682611800).

Almost surely, 2162631012142214 is an apocalyptic number.

162631012142214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

162631012142214 is an abundant number, since it is smaller than the sum of its proper divisors (288400362168186).

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

162631012142214 is a wasteful number, since it uses less digits than its factorization.

162631012142214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39231515 (or 39231509 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 162631012142214 its reverse (412241210136261), we get a palindrome (574872222278475).

The spelling of 162631012142214 in words is "one hundred sixty-two trillion, six hundred thirty-one billion, twelve million, one hundred forty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 997 1386 1994 2079 2991 4158 5982 6979 8973 10967 13958 17946 20937 21934 26919 32901 41874 53838 62811 65802 76769 98703 125622 153538 188433 197406 230307 296109 376866 460614 592218 690921 1381842 2072763 4145526 39230489 78460978 117691467 235382934 274613423 353074401 431535379 549226846 706148802 823840269 863070758 1059223203 1294606137 1647680538 2118446406 2471520807 2589212274 3020747653 3883818411 4943041614 6041495306 7414562421 7767636822 9062242959 11651455233 14829124842 18124485918 23302910466 27186728877 39112797533 54373457754 78225595066 81560186631 117338392599 163120373262 234676785198 273789582731 352015177797 430240772863 547579165462 704030355594 821368748193 860481545726 1056045533391 1290722318589 1642737496386 2112091066782 2464106244579 2581444637178 3011685410041 3872166955767 4928212489158 6023370820082 7392318733737 7744333911534 9035056230123 11616500867301 14784637467474 18070112460246 23233001734602 27105168690369 54210337380738 81315506071107 162631012142214