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11013246440844 = 223173712131202881
BaseRepresentation
bin1010000001000011100010…
…1001000101010110001100
31102222212010002011121001120
42200100320221011112030
52420420112042101334
635231225432440540
72214452341110354
oct240207051052614
942885102147046
1011013246440844
113566767556a8a
12129a535b49150
1361b71089042b
142a1088931b64
1514172e58a949
hexa0438a4558c

11013246440844 has 96 divisors (see below), whose sum is σ = 27967641621696. Its totient is φ = 3358979850240.

The previous prime is 11013246440767. The next prime is 11013246440849. The reversal of 11013246440844 is 44804464231011.

It is a junction number, because it is equal to n+sod(n) for n = 11013246440796 and 11013246440805.

It is not an unprimeable number, because it can be changed into a prime (11013246440849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8554284 + ... + 9757164.

It is an arithmetic number, because the mean of its divisors is an integer number (291329600226).

Almost surely, 211013246440844 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 11013246440844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13983820810848).

11013246440844 is an abundant number, since it is smaller than the sum of its proper divisors (16954395180852).

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

11013246440844 is a wasteful number, since it uses less digits than its factorization.

11013246440844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204155 (or 1204153 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 11013246440844 in words is "eleven trillion, thirteen billion, two hundred forty-six million, four hundred forty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1213 1258 1887 2426 2516 3639 3774 4852 7278 7548 14556 20621 41242 44881 61863 82484 89762 123726 134643 179524 247452 269286 538572 762977 1202881 1525954 2288931 2405762 3051908 3608643 4577862 4811524 7217286 9155724 14434572 20448977 40897954 44506597 61346931 81795908 89013194 122693862 133519791 178026388 245387724 267039582 534079164 756612149 1459094653 1513224298 2269836447 2918189306 3026448596 4377283959 4539672894 5836378612 8754567918 9079345788 17509135836 24804609101 49609218202 53986502161 74413827303 99218436404 107973004322 148827654606 161959506483 215946008644 297655309212 323919012966 647838025932 917770536737 1835541073474 2753311610211 3671082146948 5506623220422 11013246440844