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9131891697604 = 2213271216372
BaseRepresentation
bin1000010011100010111100…
…1010010010011111000100
31012100000000020022021020101
42010320233022102133010
52144104103233310404
631231044431213444
71631520534463054
oct204705712223704
935300006267211
109131891697604
112a008a4882705
1210359a4077284
1351319794c100
14237db34d7564
1510c81c65d2a4
hex84e2f2927c4

9131891697604 has 81 divisors (see below), whose sum is σ = 17562553542471. Its totient is φ = 4152818604480.

The previous prime is 9131891697581. The next prime is 9131891697631. The reversal of 9131891697604 is 4067961981319.

The square root of 9131891697604 is 3021902.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6474470072004 + 2657421625600 = 2544498^2 + 1630160^2 .

It is a super-3 number, since 3×91318916976043 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5578430274 + ... + 5578431910.

Almost surely, 29131891697604 is an apocalyptic number.

9131891697604 is the 3021902-nd square number.

It is an amenable number.

9131891697604 is a deficient number, since it is larger than the sum of its proper divisors (8430661844867).

9131891697604 is an equidigital number, since it uses as much as digits as its factorization.

9131891697604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 64.

Multiplying 9131891697604 by its sum of digits (64), we get a square (584441068646656 = 241752162).

The spelling of 9131891697604 in words is "nine trillion, one hundred thirty-one billion, eight hundred ninety-one million, six hundred ninety-seven thousand, six hundred four".

Divisors: 1 2 4 13 26 52 71 142 169 284 338 676 923 1637 1846 3274 3692 5041 6548 10082 11999 20164 21281 23998 42562 47996 65533 85124 116227 131066 232454 262132 276653 464908 553306 851929 1106612 1510951 1703858 2679769 3021902 3407716 5359538 6043804 8252117 10719076 16504234 19642363 33008468 34836997 39284726 69673994 78569452 107277521 139347988 190263599 214555042 380527198 429110084 452880961 761054396 905761922 1394607773 1811523844 2473426787 2789215546 4946853574 5578431092 9893707148 13508715529 27017431058 32154548231 54034862116 64309096462 128618192924 175613301877 351226603754 702453207508 2282972924401 4565945848802 9131891697604