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98961730109597 = 1724127418812361
BaseRepresentation
bin10110100000000101010010…
…110001010000000010011101
3110222101122112010100020111102
4112200011102301100002131
5100432342110402001342
6550250220255402445
726562514632530555
oct2640052261200235
9428348463306442
1098961730109597
11295944857a1193
12b123543223425
13432b088387254
141a61ab7cc0165
15b6934d3c1832
hex5a0152c5009d

98961730109597 has 16 divisors (see below), whose sum is σ = 105256191207024. Its totient is φ = 92720126976000.

The previous prime is 98961730109587. The next prime is 98961730109603. The reversal of 98961730109597 is 79590103716989.

It can be written as a sum of positive squares in 8 ways, for example, as 129719547556 + 98832010562041 = 360166^2 + 9941429^2 .

It is a cyclic number.

It is not a de Polignac number, because 98961730109597 - 246 = 28592985931933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98961730109587) 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 15 ways as a sum of consecutive naturals, for example, 6823697 + ... + 15636057.

It is an arithmetic number, because the mean of its divisors is an integer number (6578511950439).

Almost surely, 298961730109597 is an apocalyptic number.

It is an amenable number.

98961730109597 is a deficient number, since it is larger than the sum of its proper divisors (6294461097427).

98961730109597 is a wasteful number, since it uses less digits than its factorization.

98961730109597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815360.

The product of its (nonzero) digits is 231472080, while the sum is 74.

The spelling of 98961730109597 in words is "ninety-eight trillion, nine hundred sixty-one billion, seven hundred thirty million, one hundred nine thousand, five hundred ninety-seven".

Divisors: 1 17 241 2741 4097 46597 660581 8812361 11229877 149810137 2123779001 24154681501 36104243017 410629585517 5821278241741 98961730109597