Search a number
-
+
97361288216379 = 32118911049970289
BaseRepresentation
bin10110001000110010110000…
…111111111011111100111011
3110202201122111120120020222200
4112020302300333323330323
5100230131404240411004
6543023054111321243
726336056325100225
oct2610626077737473
9422648446506880
1097361288216379
1129027765aa38a0
12ab0532a520223
13424318ca42445
141a08450a45415
15b3c8cd101239
hex588cb0ffbf3b

97361288216379 has 24 divisors (see below), whose sum is σ = 155141582871600. Its totient is φ = 58343843120640.

The previous prime is 97361288216351. The next prime is 97361288216393.

97361288216379 is a `hidden beast` number, since 9 + 7 + 3 + 61 + 288 + 216 + 3 + 79 = 666.

97361288216379 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 97361288216379 - 223 = 97361279827771 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (97361288216879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5524976334 + ... + 5524993955.

It is an arithmetic number, because the mean of its divisors is an integer number (6464232619650).

Almost surely, 297361288216379 is an apocalyptic number.

97361288216379 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

97361288216379 is a deficient number, since it is larger than the sum of its proper divisors (57780294655221).

97361288216379 is a wasteful number, since it uses less digits than its factorization.

97361288216379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11049970395 (or 11049970392 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 97361288216379 in words is "ninety-seven trillion, three hundred sixty-one billion, two hundred eighty-eight million, two hundred sixteen thousand, three hundred seventy-nine".

Divisors: 1 3 9 11 33 89 99 267 801 979 2937 8811 11049970289 33149910867 99449732601 121549673179 364649019537 983447355721 1093947058611 2950342067163 8851026201489 10817920912931 32453762738793 97361288216379