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9992198349 = 3273121511093
BaseRepresentation
bin10010100111001010…
…01101100011001101
3221210101002021021100
421103211031203031
5130431000321344
64331303253313
7502421166420
oct112345154315
927711067240
109992198349
114268376571
121b2a44a239
13c331b8403
146ab0d19b7
153d736b569
hex25394d8cd

9992198349 has 72 divisors (see below), whose sum is σ = 17172894336. Its totient is φ = 5484024000.

The previous prime is 9992198311. The next prime is 9992198351. The reversal of 9992198349 is 9438912999.

9992198349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9992198349 - 27 = 9992198221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9992198369) 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 71 ways as a sum of consecutive naturals, for example, 9141447 + ... + 9142539.

Almost surely, 29992198349 is an apocalyptic number.

It is an amenable number.

9992198349 is a deficient number, since it is larger than the sum of its proper divisors (7180695987).

9992198349 is a wasteful number, since it uses less digits than its factorization.

9992198349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1285 counting only the distinct ones).

The product of its digits is 11337408, while the sum is 63.

The square root of 9992198349 is about 99960.9841338109. The cubic root of 9992198349 is about 2153.8742726821.

The spelling of 9992198349 in words is "nine billion, nine hundred ninety-two million, one hundred ninety-eight thousand, three hundred forty-nine".

Divisors: 1 3 7 9 21 31 63 93 151 217 279 453 651 961 1057 1093 1359 1953 2883 3171 3279 4681 6727 7651 8649 9513 9837 14043 20181 22953 32767 33883 42129 60543 68859 98301 101649 145111 165043 237181 294903 304947 435333 495129 711543 1015777 1050373 1155301 1305999 1485387 2134629 3047331 3151119 3465903 5116333 7352611 9141993 9453357 10397709 15348999 22057833 35814331 46046997 66173499 107442993 158606323 322328979 475818969 1110244261 1427456907 3330732783 9992198349