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12309754692676 = 227273234332
BaseRepresentation
bin1011001100100001011010…
…0011100100010001000100
31121120210121222011212021111
42303020112203210101010
53103140334200131201
642103005004054404
72410231124321200
oct263102643442104
947523558155244
1012309754692676
113a165a0678091
121469867b34404
136b3a6044a19c
14307b1c469b00
15165311b83b51
hexb32168e4444

12309754692676 has 81 divisors (see below), whose sum is σ = 25414524836631. Its totient is φ = 5201824852224.

The previous prime is 12309754692649. The next prime is 12309754692691. The reversal of 12309754692676 is 67629645790321.

The square root of 12309754692676 is 3508526.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 134121483076 + 12175633209600 = 366226^2 + 3489360^2 .

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 26 ways as a sum of consecutive naturals, for example, 3585711856 + ... + 3585715288.

Almost surely, 212309754692676 is an apocalyptic number.

12309754692676 is the 3508526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12309754692676

12309754692676 is an abundant number, since it is smaller than the sum of its proper divisors (13104770143955).

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

12309754692676 is an frugal number, since it uses more digits than its factorization.

12309754692676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 67.

The spelling of 12309754692676 in words is "twelve trillion, three hundred nine billion, seven hundred fifty-four million, six hundred ninety-two thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 2044 3433 3577 5329 6866 7154 10658 13732 14308 21316 24031 37303 48062 74606 96124 149212 168217 250609 261121 336434 501218 522242 672868 1002436 1044484 1754263 3508526 7017052 11785489 12279841 18294457 23570978 24559682 36588914 47141956 49119364 73177828 82498423 128061199 164996846 256122398 329993692 512244796 577488961 860340697 896428393 1154977922 1720681394 1792856786 2309955844 3441362788 3585713572 6022384879 12044769758 24089539516 42156694153 62804870881 84313388306 125609741762 168626776612 251219483524 439634096167 879268192334 1758536384668 3077438673169 6154877346338 12309754692676