Search a number
-
+
126111542364052 = 22719241893419131
BaseRepresentation
bin11100101011001010100001…
…101011110100011110010100
3121112112010221012221202221021
4130223022201223310132110
5113012202414321122202
61124114502011530524
735364154404146110
oct3453124153643624
9545463835852837
10126111542364052
1137201671a41703
1212189318459a44
13554a36268c4cb
14231db8cc12740
15e8a6b5ceca37
hex72b2a1af4794

126111542364052 has 144 divisors (see below), whose sum is σ = 275753269330560. Its totient is φ = 49393025510400.

The previous prime is 126111542364047. The next prime is 126111542364103. The reversal of 126111542364052 is 250463245111621.

It is a super-2 number, since 2×1261115423640522 (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 35174527 + ... + 38593657.

It is an arithmetic number, because the mean of its divisors is an integer number (1914953259240).

Almost surely, 2126111542364052 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 126111542364052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137876634665280).

126111542364052 is an abundant number, since it is smaller than the sum of its proper divisors (149641726966508).

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

126111542364052 is a wasteful number, since it uses less digits than its factorization.

126111542364052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419310 (or 3419289 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

Adding to 126111542364052 its reverse (250463245111621), we get a palindrome (376574787475673).

The spelling of 126111542364052 in words is "one hundred twenty-six trillion, one hundred eleven billion, five hundred forty-two million, three hundred sixty-four thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 89 133 164 178 266 287 356 361 532 574 623 722 779 1148 1246 1444 1558 1691 2492 2527 3116 3382 3649 5054 5453 6764 7298 10108 10906 11837 14596 14801 21812 23674 25543 29602 32129 47348 51086 59204 64258 69331 102172 103607 128516 138662 207214 224903 277324 414428 449806 485317 899612 970634 1317289 1941268 2634578 3419131 5269156 6838262 9221023 13676524 18442046 23933917 36884092 47867834 64963489 95735668 129926978 140184371 259853956 280368742 304302659 454744423 560737484 608605318 909488846 981290597 1217210636 1234306291 1818977692 1962581194 2130118613 2468612582 2663503049 3925162388 4260237226 4937225164 5327006098 5781750521 8520474452 8640144037 10654012196 11563501042 12476409019 17280288074 18644521343 23127002084 24952818038 34560576148 37289042686 40472253647 49905636076 50606557931 74578085372 80944507294 87334863133 101213115862 109853259899 161889014588 174669726266 202426231724 219706519798 237051771361 349339452532 354245905517 439413039596 474103542722 708491811034 768972819293 948207085444 1416983622068 1537945638586 1659362399527 3075891277172 3318724799054 4503983655859 6637449598108 9007967311718 18015934623436 31527885591013 63055771182026 126111542364052