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11064445632324 = 22327731093550283
BaseRepresentation
bin1010000100000010010001…
…0110011111111101000100
31110011202021020111000010200
42201000210112133331010
52422234441040213244
635310534113050500
72221244164053240
oct241004426377504
943152236430120
1011064445632324
113586450123377
1212a8444556a30
136234acc005c6
142a3744621420
15142c2935b669
hexa102459ff44

11064445632324 has 144 divisors (see below), whose sum is σ = 32431520214912. Its totient is φ = 3115106781696.

The previous prime is 11064445632313. The next prime is 11064445632337. The reversal of 11064445632324 is 42323654446011.

11064445632324 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 4 + 4 + 4 + 5 + 632 + 3 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11064445632324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19831687 + ... + 20381969.

Almost surely, 211064445632324 is an apocalyptic number.

11064445632324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11064445632324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215760107456).

11064445632324 is an abundant number, since it is smaller than the sum of its proper divisors (21367074582588).

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

11064445632324 is a wasteful number, since it uses less digits than its factorization.

11064445632324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551466 (or 551461 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 11064445632324 in words is "eleven trillion, sixty-four billion, four hundred forty-five million, six hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1093 1314 1533 2044 2186 2628 3066 3279 4372 4599 6132 6558 7651 9198 9837 13116 15302 18396 19674 22953 30604 39348 45906 68859 79789 91812 137718 159578 239367 275436 319156 478734 550283 558523 718101 957468 1100566 1117046 1436202 1650849 1675569 2201132 2234092 2872404 3301698 3351138 3851981 4952547 5026707 6603396 6702276 7703962 9905094 10053414 11555943 15407924 19810188 20106828 23111886 34667829 40170659 46223772 69335658 80341318 120511977 138671316 160682636 241023954 281194613 361535931 482047908 562389226 601459319 723071862 843583839 1124778452 1202918638 1446143724 1687167678 1804377957 2405837276 2530751517 3374335356 3608755914 4210215233 5061503034 5413133871 7217511828 8420430466 10123006068 10826267742 12630645699 16840860932 21652535484 25261291398 37891937097 43906530287 50522582796 75783874194 87813060574 131719590861 151567748388 175626121148 263439181722 307345712009 395158772583 526878363444 614691424018 790317545166 922037136027 1229382848036 1580635090332 1844074272054 2766111408081 3688148544108 5532222816162 11064445632324