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97122424581 = 327135313916097
BaseRepresentation
bin101101001110011110…
…0101001011100000101
3100021200121222100212100
41122130330221130011
53042401320041311
6112341210342313
710005532662540
oct1323474513405
9307617870770
1097122424581
113820a0930a6
12169a612a999
13920a5c08b0
1449b4c05857
1527d67c9a56
hex169cf29705

97122424581 has 96 divisors (see below), whose sum is σ = 177196481280. Its totient is φ = 49898115072.

The previous prime is 97122424571. The next prime is 97122424601. The reversal of 97122424581 is 18542422179.

97122424581 is a `hidden beast` number, since 9 + 7 + 1 + 22 + 42 + 4 + 581 = 666.

It is not a de Polignac number, because 97122424581 - 26 = 97122424517 is a prime.

It is a super-2 number, since 2×971224245812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97122424571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6025525 + ... + 6041621.

It is an arithmetic number, because the mean of its divisors is an integer number (1845796680).

Almost surely, 297122424581 is an apocalyptic number.

97122424581 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

97122424581 is a deficient number, since it is larger than the sum of its proper divisors (80074056699).

97122424581 is a wasteful number, since it uses less digits than its factorization.

97122424581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16315 (or 16312 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 97122424581 in words is "ninety-seven billion, one hundred twenty-two million, four hundred twenty-four thousand, five hundred eighty-one".

Divisors: 1 3 7 9 13 21 39 53 63 91 117 139 159 273 371 417 477 689 819 973 1113 1251 1807 2067 2919 3339 4823 5421 6201 7367 8757 12649 14469 16097 16263 22101 37947 43407 48291 51569 66303 95771 112679 113841 144873 154707 209261 287313 338037 464121 627783 670397 853141 861939 1014111 1464827 1883349 2011191 2237483 2559423 4394481 5971987 6033573 6712449 7678269 11090833 13183443 15662381 17915961 20137347 29087279 33272499 46987143 53747883 77635831 87261837 99817497 118586599 140961429 203610953 232907493 261785511 355759797 610832859 698722479 830106193 1067279391 1541625787 1832498577 2490318579 4624877361 7470955737 10791380509 13874632083 32374141527 97122424581