Search a number
-
+
21716361422406 = 2327417159207171
BaseRepresentation
bin1001111000000001111000…
…00000100010011001000110
32211220001201120021201000100
410330000330000202121012
510321300102011004111
6114104205252024530
74400645452264260
oct474007400423106
984801646251010
1021716361422406
116a12947973422
122528939602146
13c16ac8627a31
1455111293cb30
15279d5bc8d756
hex13c03c022646

21716361422406 has 96 divisors (see below), whose sum is σ = 55861256295936. Its totient is φ = 5968082736000.

The previous prime is 21716361422351. The next prime is 21716361422411. The reversal of 21716361422406 is 60422416361712.

21716361422406 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 6 + 3 + 614 + 2 + 24 + 0 + 6 = 666.

It is a congruent number.

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, 29236800 + ... + 29970371.

It is an arithmetic number, because the mean of its divisors is an integer number (581888086416).

Almost surely, 221716361422406 is an apocalyptic number.

21716361422406 is an abundant number, since it is smaller than the sum of its proper divisors (34144894873530).

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

21716361422406 is a wasteful number, since it uses less digits than its factorization.

21716361422406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59207298 (or 59207295 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 21716361422406 in words is "twenty-one trillion, seven hundred sixteen billion, three hundred sixty-one million, four hundred twenty-two thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 71 82 123 126 142 213 246 287 369 426 497 574 639 738 861 994 1278 1491 1722 2583 2911 2982 4473 5166 5822 8733 8946 17466 20377 26199 40754 52398 61131 122262 183393 366786 59207171 118414342 177621513 355243026 414450197 532864539 828900394 1065729078 1243350591 2427494011 2486701182 3730051773 4203709141 4854988022 7282482033 7460103546 8407418282 12611127423 14564964066 16992458077 21847446099 25222254846 29425963987 33984916154 37833382269 43694892198 50977374231 58851927974 75666764538 88277891961 101954748462 152932122693 172352074781 176555783922 264833675883 305864245386 344704149562 517056224343 529667351766 1034112448686 1206464523467 1551168673029 2412929046934 3102337346058 3619393570401 7238787140802 10858180711203 21716361422406