Search a number
-
+
361045642386 = 23111313118117747
BaseRepresentation
bin1010100000011111111…
…11110100110010010010
31021111220220001222012010
411100033333310302102
521403410141024021
6433510113043350
735041022216202
oct5201777646222
91244826058163
10361045642386
1112a133941a20
1259b81556556
132807b0b6ab0
1413690824402
1595d1b0b976
hex540fff4c92

361045642386 has 128 divisors (see below), whose sum is σ = 859577951232. Its totient is φ = 99661536000.

The previous prime is 361045642381. The next prime is 361045642411. The reversal of 361045642386 is 683246540163.

It is not an unprimeable number, because it can be changed into a prime (361045642381) 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, 20335165 + ... + 20352911.

It is an arithmetic number, because the mean of its divisors is an integer number (6715452744).

Almost surely, 2361045642386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361045642386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429788975616).

361045642386 is an abundant number, since it is smaller than the sum of its proper divisors (498532308846).

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

361045642386 is a wasteful number, since it uses less digits than its factorization.

361045642386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18088.

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 361045642386 in words is "three hundred sixty-one billion, forty-five million, six hundred forty-two thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 131 143 181 262 286 362 393 429 543 786 858 1086 1441 1703 1991 2353 2882 3406 3982 4323 4706 5109 5973 7059 8646 10218 11946 14118 17747 18733 23711 25883 35494 37466 47422 51766 53241 56199 71133 77649 106482 112398 142266 155298 195217 230711 260821 308243 390434 461422 521642 585651 616486 692133 782463 924729 1171302 1384266 1564926 1849458 2324857 2537821 3212207 3390673 4649714 5075642 6424414 6781346 6974571 7613463 9636621 10172019 13949142 15226926 19273242 20344038 25573427 30223141 35334277 41758691 51146854 60446282 70668554 76720281 83517382 90669423 106002831 125276073 153440562 181338846 212005662 250552146 332454551 420799117 459345601 664909102 841598234 918691202 997363653 1262397351 1378036803 1994727306 2524794702 2756073606 4628790287 5470388521 9257580574 10940777042 13886370861 16411165563 27772741722 32822331126 60174273731 120348547462 180522821193 361045642386