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12309177073056 = 2532335617156521
BaseRepresentation
bin1011001100011111010000…
…1000000111110110100000
31121120202010201021202010020
42303013310020013312200
53103133143312314211
642102431411433440
72410210611534033
oct263076410076640
947522121252106
1012309177073056
113a163246159a6
1214697265b5880
136b399a889326
14307aa586b01a
151652cb0d7306
hexb31f4207da0

12309177073056 has 96 divisors (see below), whose sum is σ = 33717603604608. Its totient is φ = 3924529889280.

The previous prime is 12309177073049. The next prime is 12309177073069. The reversal of 12309177073056 is 65037077190321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×123091770730562 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78564076 + ... + 78720596.

It is an arithmetic number, because the mean of its divisors is an integer number (351225037548).

Almost surely, 212309177073056 is an apocalyptic number.

12309177073056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12309177073056 is an abundant number, since it is smaller than the sum of its proper divisors (21408426531552).

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

12309177073056 is a wasteful number, since it uses less digits than its factorization.

12309177073056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192174 (or 192166 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 51.

The spelling of 12309177073056 in words is "twelve trillion, three hundred nine billion, one hundred seventy-seven million, seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 35617 71234 106851 142468 156521 213702 284936 313042 427404 469563 569872 626084 819191 854808 939126 1139744 1252168 1638382 1709616 1878252 2457573 2504336 3276764 3419232 3599983 3756504 4915146 5008672 6553528 7199966 7513008 9830292 10799949 13107056 14399932 15026016 19660584 21599898 26214112 28799864 39321168 43199796 57599728 78642336 86399592 115199456 172799184 345598368 5574808457 11149616914 16724425371 22299233828 33448850742 44598467656 66897701484 89196935312 128220594511 133795402968 178393870624 256441189022 267590805936 384661783533 512882378044 535181611872 769323567066 1025764756088 1538647134132 2051529512176 3077294268264 4103059024352 6154588536528 12309177073056