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9930684750 = 2353713713807
BaseRepresentation
bin10010011111110101…
…00011100101001110
3221122002100001110220
421033322203211032
5130314223403000
64321225012210
7501043266450
oct111772434516
927562301426
109930684750
114236681488
121b11924066
13c2352b52c
146a2c7c2d0
153d1c6a1a0
hex24fea394e

9930684750 has 128 divisors (see below), whose sum is σ = 28536827904. Its totient is φ = 2253139200.

The previous prime is 9930684719. The next prime is 9930684767. The reversal of 9930684750 is 574860399.

It is a junction number, because it is equal to n+sod(n) for n = 9930684693 and 9930684702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 712347 + ... + 726153.

It is an arithmetic number, because the mean of its divisors is an integer number (222943968).

Almost surely, 29930684750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9930684750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268413952).

9930684750 is an abundant number, since it is smaller than the sum of its proper divisors (18606143154).

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

9930684750 is a wasteful number, since it uses less digits than its factorization.

9930684750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13971 (or 13961 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 9930684750 is about 99652.8210840014. The cubic root of 9930684750 is about 2149.4453048921.

The spelling of 9930684750 in words is "nine billion, nine hundred thirty million, six hundred eighty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 137 150 175 210 250 274 350 375 411 525 685 750 822 875 959 1050 1370 1750 1918 2055 2625 2877 3425 4110 4795 5250 5754 6850 9590 10275 13807 14385 17125 20550 23975 27614 28770 34250 41421 47950 51375 69035 71925 82842 96649 102750 119875 138070 143850 193298 207105 239750 289947 345175 359625 414210 483245 579894 690350 719250 966490 1035525 1449735 1725875 1891559 2071050 2416225 2899470 3451750 3783118 4832450 5177625 5674677 7248675 9457795 10355250 11349354 12081125 13240913 14497350 18915590 24162250 26481826 28373385 36243375 39722739 47288975 56746770 66204565 72486750 79445478 94577950 132409130 141866925 198613695 236444875 283733850 331022825 397227390 472889750 662045650 709334625 993068475 1418669250 1655114125 1986136950 3310228250 4965342375 9930684750