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11355212241016 = 23759107127252911
BaseRepresentation
bin1010010100111101011101…
…1001000101100001111000
31111012112210021011011011221
42211033113121011201320
52442020433313203031
640052302410401424
72251246513335460
oct245172731054170
944175707134157
1011355212241016
11368879a30a066
121334871730274
13644a3ab03157
142b3849356ba0
1514a5960daa11
hexa53d7645878

11355212241016 has 128 divisors (see below), whose sum is σ = 25173039513600. Its totient is φ = 4701989416320.

The previous prime is 11355212240993. The next prime is 11355212241047. The reversal of 11355212241016 is 61014221255311.

11355212241016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 44771601 + ... + 45024511.

It is an arithmetic number, because the mean of its divisors is an integer number (196664371200).

Almost surely, 211355212241016 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 11355212241016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12586519756800).

11355212241016 is an abundant number, since it is smaller than the sum of its proper divisors (13817827272584).

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

11355212241016 is a wasteful number, since it uses less digits than its factorization.

11355212241016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253217 (or 253213 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

Adding to 11355212241016 its reverse (61014221255311), we get a palindrome (72369433496327).

The spelling of 11355212241016 in words is "eleven trillion, three hundred fifty-five billion, two hundred twelve million, two hundred forty-one thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 59 107 118 127 214 236 254 413 428 472 508 749 826 856 889 1016 1498 1652 1778 2996 3304 3556 5992 6313 7112 7493 12626 13589 14986 25252 27178 29972 44191 50504 52451 54356 59944 88382 95123 104902 108712 176764 190246 209804 252911 353528 380492 419608 505822 760984 801751 1011644 1603502 1770377 2023288 3207004 3540754 5612257 6414008 7081508 11224514 14163016 14921749 22449028 27061477 29843498 32119697 44898056 54122954 59686996 64239394 104452243 108245908 119373992 128478788 189430339 208904486 216491816 224837879 256957576 378860678 417808972 449675758 757721356 835617944 899351516 1515442712 1596627143 1798703032 1895062123 3193254286 3436807579 3790124246 6386508572 6873615158 7580248492 11176390001 12773017144 13265434861 13747230316 15160496984 22352780002 24057653053 26530869722 27494460632 44705560004 48115306106 53061739444 89411120008 96230612212 106123478888 192461224424 202771647161 405543294322 811086588644 1419401530127 1622173177288 2838803060254 5677606120508 11355212241016