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38682034544328 = 23372632543344269
BaseRepresentation
bin10001100101110010111001…
…11011011001111011001000
312001221222002111101211222020
420302321130323121323020
520032231301320404303
6214134140434324440
711101453606363260
oct1062713473317310
9161858074354866
1038682034544328
1111363a6007515a
124408a07129720
1318779144762a6
1497a312d367a0
1547131d9b3a53
hex232e5ced9ec8

38682034544328 has 128 divisors (see below), whose sum is σ = 110984275353600. Its totient is φ = 11005625523456.

The previous prime is 38682034544303. The next prime is 38682034544341. The reversal of 38682034544328 is 82344543028683.

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, 112187778 + ... + 112532046.

It is an arithmetic number, because the mean of its divisors is an integer number (867064651200).

Almost surely, 238682034544328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38682034544328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55492137676800).

38682034544328 is an abundant number, since it is smaller than the sum of its proper divisors (72302240809272).

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

38682034544328 is a wasteful number, since it uses less digits than its factorization.

38682034544328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347091 (or 347087 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 60.

The spelling of 38682034544328 in words is "thirty-eight trillion, six hundred eighty-two billion, thirty-four million, five hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 263 526 789 1052 1578 1841 2104 2543 3156 3682 5086 5523 6312 7364 7629 10172 11046 14728 15258 17801 20344 22092 30516 35602 44184 53403 61032 71204 106806 142408 213612 344269 427224 668809 688538 1032807 1337618 1377076 2006427 2065614 2409883 2675236 2754152 4012854 4131228 4681663 4819766 5350472 7229649 8025708 8262456 9363326 9639532 14044989 14459298 16051416 18726652 19279064 28089978 28918596 37453304 56179956 57837192 90542747 112359912 181085494 271628241 362170988 543256482 633799229 724341976 875476067 1086512964 1267598458 1750952134 1901397687 2173025928 2535196916 2626428201 3501904268 3802795374 5070393832 5252856402 6128332469 7003808536 7605590748 10505712804 12256664938 15211181496 18384997407 21011425608 24513329876 36769994814 49026659752 73539989628 147079979256 230250205621 460500411242 690750616863 921000822484 1381501233726 1611751439347 1842001644968 2763002467452 3223502878694 4835254318041 5526004934904 6447005757388 9670508636082 12894011514776 19341017272164 38682034544328