Search a number
-
+
97126068340 = 225742022617
BaseRepresentation
bin101101001110100101…
…0100011000001110100
3100021200212211111011101
41122131022203001310
53042403233141330
6112341420415444
710005605650000
oct1323512430164
9307625744141
1097126068340
1138211151774
12169a73a7584
13920b298272
1449b54b3700
1527d6c994ca
hex169d2a3074

97126068340 has 60 divisors (see below), whose sum is σ = 237944826756. Its totient is φ = 33300349824.

The previous prime is 97126068317. The next prime is 97126068343. The reversal of 97126068340 is 4386062179.

It can be written as a sum of positive squares in 2 ways, for example, as 40834709776 + 56291358564 = 202076^2 + 237258^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97126068343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 963289 + ... + 1059328.

Almost surely, 297126068340 is an apocalyptic number.

It is an amenable number.

97126068340 is an abundant number, since it is smaller than the sum of its proper divisors (140818758416).

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

97126068340 is a wasteful number, since it uses less digits than its factorization.

97126068340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022654 (or 2022631 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 97126068340 in words is "ninety-seven billion, one hundred twenty-six million, sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4802 6860 9604 12005 24010 48020 2022617 4045234 8090468 10113085 14158319 20226170 28316638 40452340 56633276 70791595 99108233 141583190 198216466 283166380 396432932 495541165 693757631 991082330 1387515262 1982164660 2775030524 3468788155 4856303417 6937576310 9712606834 13875152620 19425213668 24281517085 48563034170 97126068340