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11451466450404 = 22336531181137491
BaseRepresentation
bin1010011010100100000010…
…0101110000010111100100
31111112202020101102121201000
42212221000211300113210
53000110100402403104
640204421524233300
72261225004533601
oct246510045602744
944482211377630
1011451466450404
1137155a32aa242
12134b454b3b830
13650b3a578836
142b837ab176a8
1514cd2b566639
hexa6a409705e4

11451466450404 has 96 divisors (see below), whose sum is σ = 29759846417280. Its totient is φ = 3808055030400.

The previous prime is 11451466450399. The next prime is 11451466450439. The reversal of 11451466450404 is 40405466415411.

11451466450404 is a `hidden beast` number, since 1 + 1 + 45 + 1 + 46 + 64 + 504 + 0 + 4 = 666.

It is a super-3 number, since 3×114514664504043 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11451466450404.

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, 83220099 + ... + 83357589.

It is an arithmetic number, because the mean of its divisors is an integer number (309998400180).

Almost surely, 211451466450404 is an apocalyptic number.

It is an amenable number.

11451466450404 is an abundant number, since it is smaller than the sum of its proper divisors (18308379966876).

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

11451466450404 is a wasteful number, since it uses less digits than its factorization.

11451466450404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139338 (or 139330 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 11451466450404 in words is "eleven trillion, four hundred fifty-one billion, four hundred sixty-six million, four hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 653 1181 1306 1959 2362 2612 3543 3918 4724 5877 7086 7836 10629 11754 14172 17631 21258 23508 31887 35262 42516 63774 70524 127548 137491 274982 412473 549964 771193 824946 1237419 1542386 1649892 2313579 2474838 3084772 3712257 4627158 4949676 6940737 7424514 9254316 13881474 14849028 20822211 27762948 41644422 83288844 89781623 162376871 179563246 269344869 324753742 359126492 487130613 538689738 649507484 808034607 974261226 1077379476 1461391839 1616069214 1948522452 2424103821 2922783678 3232138428 4384175517 4848207642 5845567356 8768351034 9696415284 17536702068 106032096763 212064193526 318096290289 424128387052 636192580578 954288870867 1272385161156 1908577741734 2862866612601 3817155483468 5725733225202 11451466450404