Search a number
-
+
97893421605 = 32571781122541
BaseRepresentation
bin101101100101011100…
…1110001001000100101
3100100200100202001221200
41123022321301020211
53100441203442410
6112545511433113
710033614232350
oct1331271611045
9310610661850
1097893421605
1138575314621
1216b80385799
13930125a555
144a49381297
15282e3233c0
hex16cae71225

97893421605 has 96 divisors (see below), whose sum is σ = 205591696128. Its totient is φ = 42065049600.

The previous prime is 97893421601. The next prime is 97893421679. The reversal of 97893421605 is 50612439879.

97893421605 is a `hidden beast` number, since 9 + 7 + 8 + 9 + 3 + 4 + 21 + 605 = 666.

It is not a de Polignac number, because 97893421605 - 22 = 97893421601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97893421601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4331635 + ... + 4354175.

It is an arithmetic number, because the mean of its divisors is an integer number (2141580168).

It is a 2-persistent number, because it is pandigital, and so is 2⋅97893421605 = 195786843210, but 3⋅97893421605 = 293680264815 is not.

Almost surely, 297893421605 is an apocalyptic number.

97893421605 is the 255465-th pentagonal number.

It is an amenable number.

97893421605 is an abundant number, since it is smaller than the sum of its proper divisors (107698274523).

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

97893421605 is a wasteful number, since it uses less digits than its factorization.

97893421605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23387 (or 23384 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 97893421605 in words is "ninety-seven billion, eight hundred ninety-three million, four hundred twenty-one thousand, six hundred five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 811 1071 1785 2433 4055 5355 5677 7299 12165 13787 17031 22541 28385 36495 41361 51093 67623 68935 85155 96509 112705 124083 157787 202869 206805 255465 289527 338115 383197 473361 482545 620415 788935 868581 1014345 1149591 1420083 1447635 1915985 2366805 2682379 3448773 4342905 5747955 7100415 8047137 13411895 17243865 18280751 24141411 40235685 54842253 91403755 120707055 127965257 164526759 274211265 310772767 383895771 639826285 822633795 932318301 1151687313 1553863835 1919478855 2175409369 2796954903 4661591505 5758436565 6526228107 10877046845 13984774515 19578684321 32631140535 97893421605