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98126181209956 = 221722913492
BaseRepresentation
bin10110010011111011001000…
…001011001001011101100100
3110212102202211021200021211011
4112103323020023021131210
5100330144404342204311
6544410313442552004
726445245150212654
oct2623731013113544
9425382737607734
1098126181209956
11292a209716aa99
12b009617668604
13429a34a570523
141a334925a8364
15b52749277321
hex593ec82c9764

98126181209956 has 27 divisors (see below), whose sum is σ = 182416857443499. Its totient is φ = 46176867957888.

The previous prime is 98126181209897. The next prime is 98126181209993. The reversal of 98126181209956 is 65990218162189.

The square root of 98126181209956 is 9905866.

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 17029240222500 + 81096940987456 = 4126650^2 + 9005384^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 98126181209891 and 98126181209900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 336653770 + ... + 336945118.

Almost surely, 298126181209956 is an apocalyptic number.

98126181209956 is the 9905866-th square number.

It is an amenable number.

98126181209956 is a deficient number, since it is larger than the sum of its proper divisors (84290676233543).

98126181209956 is an frugal number, since it uses more digits than its factorization.

98126181209956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582736 (or 291368 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 67.

The spelling of 98126181209956 in words is "ninety-eight trillion, one hundred twenty-six billion, one hundred eighty-one million, two hundred nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 17 34 68 289 578 1156 291349 582698 1165396 4952933 9905866 19811732 84199861 168399722 336799444 84884239801 169768479602 339536959204 1443032076617 2886064153234 5772128306468 24531545302489 49063090604978 98126181209956