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8018960742 = 2331347359677
BaseRepresentation
bin1110111011111011…
…11010000101100110
3202200212002102011000
413131331322011212
5112410323220432
63403414054130
7402501020202
oct73575720546
922625072130
108018960742
113445548991
12167964a346
139aa4514b0
14561001b02
1531dee357c
hex1ddf7a166

8018960742 has 128 divisors (see below), whose sum is σ = 19682611200. Its totient is φ = 2404591488.

The previous prime is 8018960717. The next prime is 8018960767. The reversal of 8018960742 is 2470698108.

It is an interprime number because it is at equal distance from previous prime (8018960717) and next prime (8018960767).

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, 11844508 + ... + 11845184.

It is an arithmetic number, because the mean of its divisors is an integer number (153770400).

Almost surely, 28018960742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8018960742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841305600).

8018960742 is an abundant number, since it is smaller than the sum of its proper divisors (11663650458).

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

8018960742 is a wasteful number, since it uses less digits than its factorization.

8018960742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8018960742 is about 89548.6501405800. The cubic root of 8018960742 is about 2001.5788151767.

The spelling of 8018960742 in words is "eight billion, eighteen million, nine hundred sixty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 94 117 141 234 282 351 359 423 611 677 702 718 846 1077 1222 1269 1354 1833 2031 2154 2538 3231 3666 4062 4667 5499 6093 6462 8801 9334 9693 10998 12186 14001 16497 16873 17602 18279 19386 26403 28002 31819 32994 33746 36558 42003 50619 52806 63638 79209 84006 95457 101238 126009 151857 158418 190914 219349 237627 243043 252018 286371 303714 413647 438698 455571 475254 486086 572742 658047 729129 827294 859113 911142 1240941 1316094 1458258 1718226 1974141 2187387 2481882 3159559 3722823 3948282 4374774 5922423 6319118 6562161 7445646 9478677 11168469 11423021 11844846 13124322 18957354 22336938 22846042 28436031 34269063 56872062 68538126 85308093 102807189 148499273 170616186 205614378 296998546 308421567 445497819 616843134 890995638 1336493457 2672986914 4009480371 8018960742