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84726845808 = 2431110310914293
BaseRepresentation
bin100111011101000011…
…1010001000101110000
322002200202111201110020
41032322013101011300
52342010033031213
6102531210203440
76056416210113
oct1167207210560
9262622451406
1084726845808
1132a29106320
1214506a23580
137cb3504cb7
14415a85457a
15230d46a923
hex13ba1d1170

84726845808 has 160 divisors (see below), whose sum is σ = 243322759680. Its totient is φ = 25190507520.

The previous prime is 84726845681. The next prime is 84726845837. The reversal of 84726845808 is 80854862748.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5920710 + ... + 5935002.

It is an arithmetic number, because the mean of its divisors is an integer number (1520767248).

Almost surely, 284726845808 is an apocalyptic number.

84726845808 is a gapful number since it is divisible by the number (88) 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 84726845808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121661379840).

84726845808 is an abundant number, since it is smaller than the sum of its proper divisors (158595913872).

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

84726845808 is a wasteful number, since it uses less digits than its factorization.

84726845808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14527 (or 14521 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 60.

It can be divided in two parts, 84726845 and 808, that added together give a triangular number (84727653 = T13017).

The spelling of 84726845808 in words is "eighty-four billion, seven hundred twenty-six million, eight hundred forty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 109 132 176 206 218 264 309 327 412 436 528 618 654 824 872 1133 1199 1236 1308 1648 1744 2266 2398 2472 2616 3399 3597 4532 4796 4944 5232 6798 7194 9064 9592 11227 13596 14293 14388 18128 19184 22454 27192 28586 28776 33681 42879 44908 54384 57172 57552 67362 85758 89816 114344 123497 134724 157223 171516 179632 228688 246994 269448 314446 343032 370491 471669 493988 538896 628892 686064 740982 943338 987976 1257784 1472179 1481964 1557937 1886676 1975952 2515568 2944358 2963928 3115874 3773352 4416537 4673811 5888716 5927856 6231748 7546704 8833074 9347622 11777432 12463496 16193969 17137307 17666148 18695244 23554864 24926992 32387938 34274614 35332296 37390488 48581907 51411921 64775876 68549228 70664592 74780976 97163814 102823842 129551752 137098456 160467511 194327628 205647684 259103504 274196912 320935022 388655256 411295368 481402533 641870044 777310512 822590736 962805066 1283740088 1765142621 1925610132 2567480176 3530285242 3851220264 5295427863 7060570484 7702440528 10590855726 14121140968 21181711452 28242281936 42363422904 84726845808