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1005605061108 = 2234773174114029
BaseRepresentation
bin11101010001000101011…
…10111000000111110100
310120010122100100000211220
432220202232320013310
5112433434343423413
62045545114230340
7132436554662034
oct16504256700764
93503570300756
101005605061108
113585249282aa
12142a871253b0
1373a9c5a584b
1436958a0b8c4
151b25888a223
hexea22bb81f4

1005605061108 has 96 divisors (see below), whose sum is σ = 2430730498560. Its totient is φ = 323366722560.

The previous prime is 1005605061091. The next prime is 1005605061169. The reversal of 1005605061108 is 8011605065001.

1005605061108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10056050611082 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 71673438 + ... + 71687466.

It is an arithmetic number, because the mean of its divisors is an integer number (25320109360).

Almost surely, 21005605061108 is an apocalyptic number.

It is an amenable number.

1005605061108 is an abundant number, since it is smaller than the sum of its proper divisors (1425125437452).

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

1005605061108 is a wasteful number, since it uses less digits than its factorization.

1005605061108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15897 (or 15895 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 1005605061108 in words is "one trillion, five billion, six hundred five million, sixty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 47 73 94 141 146 188 219 282 292 438 564 876 1741 3431 3482 5223 6862 6964 10293 10446 13724 14029 20586 20892 28058 41172 42087 56116 81827 84174 127093 163654 168348 245481 254186 327308 381279 490962 508372 659363 762558 981924 1024117 1318726 1525116 1978089 2048234 2637452 3072351 3956178 4096468 5973371 6144702 7912356 11946742 12289404 17920113 23893484 24424489 35840226 48133499 48848978 71680452 73273467 96266998 97697956 144400497 146546934 192533996 288800994 293093868 577601988 1147950983 1782987697 2295901966 3443852949 3565975394 4591803932 5348963091 6887705898 7131950788 10697926182 13775411796 21395852364 83800421759 167600843518 251401265277 335201687036 502802530554 1005605061108