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11552425124436 = 22327107490387383
BaseRepresentation
bin1010100000011100001000…
…1100100010001001010100
31111220101211100222122111100
42220013002030202021110
53003233331312440221
640323035535110100
72301430602233250
oct250070214421124
944811740878440
1011552425124436
1137543a08a2329
121366b2b972330
1365a509886201
142bd1d7209260
15150789a1c926
hexa81c2322254

11552425124436 has 144 divisors (see below), whose sum is σ = 33692832036864. Its totient is φ = 3269140976448.

The previous prime is 11552425124419. The next prime is 11552425124437. The reversal of 11552425124436 is 63442152425511.

11552425124436 is a `hidden beast` number, since 1 + 1 + 5 + 52 + 42 + 5 + 124 + 436 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11552425124391 and 11552425124400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552425124437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132160801 + ... + 132248183.

It is an arithmetic number, because the mean of its divisors is an integer number (233978000256).

Almost surely, 211552425124436 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 11552425124436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846416018432).

11552425124436 is an abundant number, since it is smaller than the sum of its proper divisors (22140406912428).

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

11552425124436 is a wasteful number, since it uses less digits than its factorization.

11552425124436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92410 (or 92405 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

Adding to 11552425124436 its reverse (63442152425511), we get a palindrome (74994577549947).

The spelling of 11552425124436 in words is "eleven trillion, five hundred fifty-two billion, four hundred twenty-five million, one hundred twenty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 4903 6741 8988 9806 13482 14709 19612 26964 29418 34321 44127 58836 68642 87383 88254 102963 137284 174766 176508 205926 262149 308889 349532 411852 524298 524621 611681 617778 786447 1048596 1049242 1223362 1235556 1572894 1573863 1835043 2098484 2446724 3145788 3147726 3670086 3672347 4721589 5505129 6295452 7340172 7344694 9349981 9443178 11010258 11017041 14689388 18699962 18886356 22020516 22034082 28049943 33051123 37399924 44068164 56099886 65449867 66102246 84149829 112199772 130899734 132204492 168299658 196349601 261799468 336599316 392699202 428438849 589048803 785398404 856877698 1178097606 1285316547 1713755396 2356195212 2570633094 2999071943 3855949641 5141266188 5998143886 7711899282 8997215829 11996287772 15423798564 17994431658 26991647487 35988863316 45842956843 53983294974 91685913686 107966589948 137528870529 183371827372 275057741058 320900697901 412586611587 550115482116 641801395802 825173223174 962702093703 1283602791604 1650346446348 1925404187406 2888106281109 3850808374812 5776212562218 11552425124436