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9803647457214 = 231317232143150001
BaseRepresentation
bin1000111010101001011011…
…1011001001011110111110
31021201012221001021120222220
42032222112323021132332
52241110332222112324
632503422232350210
72031201344306322
oct216522673113676
937635831246886
109803647457214
11313a781455476
121124019845366
135616316c4370
1425c6db631982
15120036d06b79
hex8ea96ec97be

9803647457214 has 128 divisors (see below), whose sum is σ = 23340752805888. Its totient is φ = 2714342400000.

The previous prime is 9803647457203. The next prime is 9803647457281. The reversal of 9803647457214 is 4127547463089.

It is a super-2 number, since 2×98036474572142 (a number of 27 digits) contains 22 as substring.

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, 65282214 + ... + 65432214.

It is an arithmetic number, because the mean of its divisors is an integer number (182349631296).

It is a 1-persistent number, because it is pandigital, but 2⋅9803647457214 = 19607294914428 is not.

Almost surely, 29803647457214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9803647457214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670376402944).

9803647457214 is an abundant number, since it is smaller than the sum of its proper divisors (13537105348674).

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

9803647457214 is a wasteful number, since it uses less digits than its factorization.

9803647457214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152202.

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 9803647457214 in words is "nine trillion, eight hundred three billion, six hundred forty-seven million, four hundred fifty-seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 102 138 221 299 391 442 598 663 782 897 1173 1326 1794 2143 2346 4286 5083 6429 10166 12858 15249 27859 30498 36431 49289 55718 72862 83577 98578 109293 147867 150001 167154 218586 295734 300002 450003 473603 640757 837913 900006 947206 1281514 1420809 1675826 1922271 1950013 2513739 2550017 2841618 3450023 3844542 3900026 5027478 5100034 5850039 6900046 7650051 10350069 10892869 11700078 15300102 20700138 21785738 32678607 33150221 44850299 58650391 65357214 66300442 89700598 99450663 117300782 134550897 175951173 198901326 269101794 321452143 351902346 642904286 762455083 964356429 1524910166 1928712858 2287365249 4178877859 4574730498 5464686431 7393399289 8357755718 10929372862 12536633577 14786798578 16394059293 22180197867 25073267154 32788118586 44360395734 71040923603 96114190757 125687787913 142081847206 192228381514 213122770809 251375575826 288342572271 377063363739 426245541618 576685144542 754126727478 1633941242869 3267882485738 4901823728607 9803647457214