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13565140225060 = 22541101569287857
BaseRepresentation
bin1100010101100110000101…
…0111010100110000100100
31210000210222221112112110011
43011121201113110300210
53234222401344200220
644503423412540004
72600022551301454
oct305314127246044
953023887475404
1013565140225060
11435aa42018436
121631022021604
1377525847a858
1434c7b0661d64
15187cd8e2265a
hexc56615d4c24

13565140225060 has 96 divisors (see below), whose sum is σ = 29522417107680. Its totient is φ = 5232070656000.

The previous prime is 13565140225057. The next prime is 13565140225067. The reversal of 13565140225060 is 6052204156531.

It can be written as a sum of positive squares in 16 ways, for example, as 3116976126016 + 10448164099044 = 1765496^2 + 3232362^2 .

It is not an unprimeable number, because it can be changed into a prime (13565140225067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46980652 + ... + 47268508.

It is an arithmetic number, because the mean of its divisors is an integer number (307525178205).

Almost surely, 213565140225060 is an apocalyptic number.

13565140225060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13565140225060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761208553840).

13565140225060 is an abundant number, since it is smaller than the sum of its proper divisors (15957276882620).

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

13565140225060 is a wasteful number, since it uses less digits than its factorization.

13565140225060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288577 (or 288575 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 13565140225060 in words is "thirteen trillion, five hundred sixty-five billion, one hundred forty million, two hundred twenty-five thousand, sixty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 569 820 1010 1138 2020 2276 2845 4141 5690 8282 11380 16564 20705 23329 41410 46658 57469 82820 93316 114938 116645 229876 233290 287345 287857 466580 574690 575714 1149380 1151428 1439285 2356229 2878570 4712458 5757140 9424916 11781145 11802137 23562290 23604274 29073557 47124580 47208548 58147114 59010685 116294228 118021370 145367785 163790633 236042740 290735570 327581266 581471140 655162532 818953165 1192015837 1637906330 2384031674 3275812660 4768063348 5960079185 6715415953 11920158370 13430831906 16542853933 23840316740 26861663812 33085707866 33577079765 66171415732 67154159530 82714269665 134308319060 165428539330 330857078660 678257011253 1356514022506 2713028045012 3391285056265 6782570112530 13565140225060