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11056450526716 = 22721723473069623
BaseRepresentation
bin1010000011100100011111…
…0011100101110111111100
31110010222122001021120002011
42200321013303211313330
52422122102313323331
635303132510141004
72220542102556400
oct240710763456774
943128561246064
1011056450526716
113583018099181
1212a6992ab1764
136228076b219a
142a31c686d100
1514290c4cb3b1
hexa0e47ce5dfc

11056450526716 has 144 divisors (see below), whose sum is σ = 25397037582336. Its totient is φ = 4175078831616.

The previous prime is 11056450526701. The next prime is 11056450526729. The reversal of 11056450526716 is 61762505465011.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 11056450526716.

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, 2067081 + ... + 5136703.

It is an arithmetic number, because the mean of its divisors is an integer number (176368316544).

Almost surely, 211056450526716 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 11056450526716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12698518791168).

11056450526716 is an abundant number, since it is smaller than the sum of its proper divisors (14340587055620).

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

11056450526716 is a wasteful number, since it uses less digits than its factorization.

11056450526716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069728 (or 3069719 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 49.

The spelling of 11056450526716 in words is "eleven trillion, fifty-six billion, four hundred fifty million, five hundred twenty-six thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 17 23 28 34 46 47 49 68 92 94 98 119 161 188 196 238 322 329 391 476 644 658 782 799 833 1081 1127 1316 1564 1598 1666 2162 2254 2303 2737 3196 3332 4324 4508 4606 5474 5593 7567 9212 10948 11186 15134 18377 19159 22372 30268 36754 38318 39151 52969 73508 76636 78302 105938 128639 156604 211876 257278 514556 900473 1800946 3069623 3601892 6139246 12278492 21487361 42974722 52183591 70601329 85949444 104367182 141202658 144272281 150411527 208734364 282405316 288544562 300823054 365285137 494209303 577089124 601646108 730570274 988418606 1009905967 1200222593 1461140548 1976837212 2019811934 2400445186 2452628777 2556995959 3318262463 3459465121 4039623868 4800890372 4905257554 5113991918 6636524926 6918930242 7069341769 8401558151 9810515108 10227983836 13273049852 13837860484 14138683538 16803116302 17168401439 23227837241 28277367076 33606232604 34336802878 46455674482 56410461871 58810907057 68673605756 92911348964 112820923742 117621814114 120178810073 162594860687 225641847484 235243628228 240357620146 325189721374 394873233097 480715240292 650379442748 789746466194 1579492932388 2764112631679 5528225263358 11056450526716