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9998196728688 = 2433753332318773
BaseRepresentation
bin1001000101111110001011…
…1101101110001101110000
31022101211002112001120122000
42101133202331232031300
52302302301330304223
633133035210414000
72051226430653450
oct221374275561560
938354075046560
109998196728688
113205236445653
121155873a31300
13576a9769148c
14267cb5843d60
15125121990543
hex917e2f6e370

9998196728688 has 320 divisors, whose sum is σ = 33428990407680. Its totient is φ = 2801736317952.

The previous prime is 9998196728671. The next prime is 9998196728693. The reversal of 9998196728688 is 8868276918999.

9998196728688 is a `hidden beast` number, since 9 + 99 + 81 + 96 + 7 + 286 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9998196728598 and 9998196728607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532574470 + ... + 532593242.

It is an arithmetic number, because the mean of its divisors is an integer number (104465595024).

Almost surely, 29998196728688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9998196728688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16714495203840).

9998196728688 is an abundant number, since it is smaller than the sum of its proper divisors (23430793678992).

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

9998196728688 is a wasteful number, since it uses less digits than its factorization.

9998196728688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22173 (or 22161 counting only the distinct ones).

The product of its digits is 13544423424, while the sum is 90.

The spelling of 9998196728688 in words is "nine trillion, nine hundred ninety-eight billion, one hundred ninety-six million, seven hundred twenty-eight thousand, six hundred eighty-eight".