Search a number
-
+
982078000386 = 237298918150053
BaseRepresentation
bin11100100101010000110…
…10010000110100000010
310110212220201000111212120
432102220122100310002
5112042243432003021
62031054351505110
7130644544161210
oct16225032206402
93425821014776
10982078000386
1134955147936a
1213a3bbb28196
13717c0278442
1435766121cb0
151a82d1692c6
hexe4a8690d02

982078000386 has 128 divisors (see below), whose sum is σ = 2361267417600. Its totient is φ = 266388756480.

The previous prime is 982078000381. The next prime is 982078000391. The reversal of 982078000386 is 683000870289.

982078000386 is a nontrivial binomial coefficient, being equal to C(1401484, 2).

It is an interprime number because it is at equal distance from previous prime (982078000381) and next prime (982078000391).

It is a super-2 number, since 2×9820780003862 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (982078000381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595736 + ... + 19645788.

It is an arithmetic number, because the mean of its divisors is an integer number (18447401700).

Almost surely, 2982078000386 is an apocalyptic number.

982078000386 is the 1401483-rd triangular number and also the 700742-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982078000386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180633708800).

982078000386 is an abundant number, since it is smaller than the sum of its proper divisors (1379189417214).

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

982078000386 is a wasteful number, since it uses less digits than its factorization.

982078000386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50364.

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 982078000386 in words is "nine hundred eighty-two billion, seventy-eight million, three hundred eighty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 29 42 58 87 89 174 178 181 203 267 362 406 534 543 609 623 1086 1218 1246 1267 1869 2534 2581 3738 3801 5162 5249 7602 7743 10498 15486 15747 16109 18067 31494 32218 36134 36743 48327 50053 54201 73486 96654 100106 108402 110229 112763 150159 220458 225526 300318 338289 350371 467161 676578 700742 934322 1051113 1401483 1451537 2102226 2802966 2903074 3270127 4354611 4454717 6540254 8709222 8909434 9059593 9810381 10160759 13364151 18119186 19620762 20321518 26728302 27178779 30482277 31183019 54357558 60964554 62366038 63417151 93549057 126834302 129186793 187098114 190251453 258373586 262728197 380502906 387560379 525456394 775120758 788184591 806303777 904307551 1576369182 1612607554 1808615102 1839097379 2418911331 2712922653 3678194758 4837822662 5425845306 5517292137 5644126439 11034584274 11288252878 16932379317 23382809533 33864758634 46765619066 70148428599 140296857198 163679666731 327359333462 491039000193 982078000386