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41364062610630 = 235231187213723633
BaseRepresentation
bin10010110011110110100100…
…10000100010010011000110
312102110100212122101021101020
421121323102100202103012
520410202100012020010
6223550215452012010
711466312013655604
oct1131732220422306
9172410778337336
1041364062610630
11121a8444a91871
124780770a61006
131a107ca9c2aa6
14a30061cc8874
154bae92d86470
hex259ed24224c6

41364062610630 has 128 divisors (see below), whose sum is σ = 103730175065088. Its totient is φ = 10536565788672.

The previous prime is 41364062610623. The next prime is 41364062610631. The reversal of 41364062610630 is 3601626046314.

It is a super-2 number, since 2×413640626106302 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41364062610631) 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, 1750255294 + ... + 1750278926.

It is an arithmetic number, because the mean of its divisors is an integer number (810391992696).

Almost surely, 241364062610630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41364062610630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51865087532544).

41364062610630 is an abundant number, since it is smaller than the sum of its proper divisors (62366112454458).

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

41364062610630 is a wasteful number, since it uses less digits than its factorization.

41364062610630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26990.

The product of its (nonzero) digits is 373248, while the sum is 42.

Adding to 41364062610630 its reverse (3601626046314), we get a palindrome (44965688656944).

The spelling of 41364062610630 in words is "forty-one trillion, three hundred sixty-four billion, sixty-two million, six hundred ten thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1187 2137 2374 3561 4274 5935 6411 7122 10685 11870 12822 17805 21370 23633 27301 32055 35610 47266 49151 54602 64110 70899 81903 98302 118165 136505 141798 147453 163806 236330 245755 273010 294906 354495 409515 491510 543559 708990 737265 819030 1087118 1474530 1630677 2536619 2717795 3261354 5073238 5435590 7609857 8153385 12683095 15219714 16306770 25366190 28052371 38049285 50503721 56104742 58342237 76098570 84157113 101007442 116684474 140261855 151511163 168314226 175026711 252518605 280523710 291711185 303022326 350053422 420785565 505037210 583422370 645204533 757555815 841571130 875133555 1161585583 1290409066 1515111630 1750267110 1935613599 2323171166 3226022665 3484756749 3871227198 5807927915 6452045330 6969513498 9678067995 11615855830 17423783745 19356135990 34847567490 59947916827 119895833654 179843750481 299739584135 359687500962 599479168270 899218752405 1378802087021 1798437504810 2757604174042 4136406261063 6894010435105 8272812522126 13788020870210 20682031305315 41364062610630