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6996459120 = 24357384991
BaseRepresentation
bin1101000010000010…
…10111111001110000
3200001121001221121120
412201001113321300
5103312043142440
63114130222240
7335243631000
oct64101277160
920047057546
106996459120
112a70356322
121433124980
13876666351
144a52b8000
152ae369dd0
hex1a1057e70

6996459120 has 160 divisors (see below), whose sum is σ = 25293619200. Its totient is φ = 1599171840.

The previous prime is 6996459097. The next prime is 6996459143. The reversal of 6996459120 is 219546996.

It is an interprime number because it is at equal distance from previous prime (6996459097) and next prime (6996459143).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39825 + ... + 124815.

It is an arithmetic number, because the mean of its divisors is an integer number (158085120).

Almost surely, 26996459120 is an apocalyptic number.

6996459120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6996459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646809600).

6996459120 is an abundant number, since it is smaller than the sum of its proper divisors (18297160080).

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

6996459120 is a wasteful number, since it uses less digits than its factorization.

6996459120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85028 (or 85008 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The square root of 6996459120 is about 83644.8391713440. The cubic root of 6996459120 is about 1912.6085826684.

The spelling of 6996459120 in words is "six billion, nine hundred ninety-six million, four hundred fifty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1176 1372 1470 1680 1715 1960 2058 2352 2744 2940 3430 3920 4116 5145 5488 5880 6860 8232 10290 11760 13720 16464 20580 27440 41160 82320 84991 169982 254973 339964 424955 509946 594937 679928 849910 1019892 1189874 1274865 1359856 1699820 1784811 2039784 2379748 2549730 2974685 3399640 3569622 4079568 4164559 4759496 5099460 5949370 6799280 7139244 8329118 8924055 9518992 10198920 11898740 12493677 14278488 16658236 17848110 20397840 20822795 23797480 24987354 28556976 29151913 33316472 35696220 41645590 47594960 49974708 58303826 62468385 66632944 71392440 83291180 87455739 99949416 116607652 124936770 142784880 145759565 166582360 174911478 199898832 233215304 249873540 291519130 333164720 349822956 437278695 466430608 499747080 583038260 699645912 874557390 999494160 1166076520 1399291824 1749114780 2332153040 3498229560 6996459120