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1011005506056 = 233713479849247
BaseRepresentation
bin11101011011001001001…
…11111100001000001000
310120122120201020001121110
432231210213330020020
5113031014402143211
62052241032410320
7133020442003350
oct16554447741010
93518521201543
101011005506056
1135a846284547
12143b338469a0
13744503a03c0
1436d0bd4bb60
151b472a41ea6
hexeb649fc208

1011005506056 has 128 divisors (see below), whose sum is σ = 3176973434880. Its totient is φ = 260965622016.

The previous prime is 1011005506031. The next prime is 1011005506061. The reversal of 1011005506056 is 6506055001101.

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 31 ways as a sum of consecutive naturals, for example, 4821976 + ... + 5027271.

It is an arithmetic number, because the mean of its divisors is an integer number (24820104960).

Almost surely, 21011005506056 is an apocalyptic number.

It is an amenable number.

1011005506056 is an abundant number, since it is smaller than the sum of its proper divisors (2165967928824).

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

1011005506056 is a wasteful number, since it uses less digits than its factorization.

1011005506056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849323 (or 9849319 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 1011005506056 in words is "one trillion, eleven billion, five million, five hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 47 52 56 78 84 91 94 104 141 156 168 182 188 273 282 312 329 364 376 546 564 611 658 728 987 1092 1128 1222 1316 1833 1974 2184 2444 2632 3666 3948 4277 4888 7332 7896 8554 12831 14664 17108 25662 34216 51324 102648 9849247 19698494 29547741 39396988 59095482 68944729 78793976 118190964 128040211 137889458 206834187 236381928 256080422 275778916 384120633 413668374 462914609 512160844 551557832 768241266 827336748 896281477 925829218 1024321688 1388743827 1536482532 1654673496 1792562954 1851658436 2688844431 2777487654 3072965064 3240402263 3585125908 3703316872 5377688862 5554975308 6017889917 6480804526 7170251816 9721206789 10755377724 11109950616 12035779834 12961609052 18053669751 19442413578 21510755448 24071559668 25923218104 36107339502 38884827156 42125229419 48143119336 72214679004 77769654312 84250458838 126375688257 144429358008 168500917676 252751376514 337001835352 505502753028 1011005506056