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13848814092544 = 28295573349033
BaseRepresentation
bin1100100110000110110110…
…1001010000000100000000
31211000221012122222002200121
43021201231221100010000
53303344332401430134
645242020220230024
72626354344344134
oct311415551200400
954027178862617
1013848814092544
11445a281576732
121677bab99b314
13795c25aa5902
1435c4013b93c4
1519038d168ab4
hexc986da50100

13848814092544 has 72 divisors (see below), whose sum is σ = 28648105700760. Its totient is φ = 6673629462528.

The previous prime is 13848814092499. The next prime is 13848814092583. The reversal of 13848814092544 is 44529041884831.

It can be written as a sum of positive squares in 4 ways, for example, as 708479090944 + 13140335001600 = 841712^2 + 3624960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2460652 + ... + 5809684.

It is an arithmetic number, because the mean of its divisors is an integer number (397890356955).

Almost surely, 213848814092544 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 13848814092544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324052850380).

13848814092544 is an abundant number, since it is smaller than the sum of its proper divisors (14799291608216).

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

13848814092544 is an equidigital number, since it uses as much as digits as its factorization.

13848814092544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349635 (or 3349621 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 61.

The spelling of 13848814092544 in words is "thirteen trillion, eight hundred forty-eight billion, eight hundred fourteen million, ninety-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 557 928 1114 1856 2228 3712 4456 7424 8912 16153 17824 32306 35648 64612 71296 129224 142592 258448 516896 1033792 2067584 3349033 4135168 6698066 13396132 26792264 53584528 97121957 107169056 194243914 214338112 388487828 428676224 776975656 857352448 1553951312 1865411381 3107902624 3730822762 6215805248 7461645524 12431610496 14923291048 24863220992 29846582096 54096930049 59693164192 108193860098 119386328384 216387720196 238772656768 432775440392 477545313536 865550880784 1731101761568 3462203523136 6924407046272 13848814092544