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12295023293476 = 2272112227692
BaseRepresentation
bin1011001011101010100001…
…1111101111010000100100
31121112101121022110020121201
42302322220133233100210
53102420201430342401
642052131123052244
72406200065434400
oct262725037572044
947471538406551
1012295023293476
113a10321133900
121466a36511084
136b2553457121
14307121ba4100
15164c4d729b01
hexb2ea87ef424

12295023293476 has 81 divisors (see below), whose sum is σ = 27512593101777. Its totient is φ = 4790058430080.

The previous prime is 12295023293459. The next prime is 12295023293507. The reversal of 12295023293476 is 67439232059221.

The square root of 12295023293476 is 3506426.

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

It can be written as a sum of positive squares in only one way, i.e., 181839133476 + 12113184160000 = 426426^2 + 3480400^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 539978220 + ... + 540000988.

Almost surely, 212295023293476 is an apocalyptic number.

12295023293476 is the 3506426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12295023293476

12295023293476 is an abundant number, since it is smaller than the sum of its proper divisors (15217569808301).

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

12295023293476 is an frugal number, since it uses more digits than its factorization.

12295023293476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45578 (or 22789 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 12295023293476 in words is "twelve trillion, two hundred ninety-five billion, twenty-three million, two hundred ninety-three thousand, four hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 5929 11858 22769 23716 45538 91076 159383 250459 318766 500918 637532 1001836 1115681 1753213 2231362 2755049 3506426 4462724 5510098 7012852 11020196 12272491 19285343 24544982 38570686 49089964 77141372 134997401 269994802 518427361 539989604 1036854722 2073709444 3628991527 5702700971 7257983054 11405401942 14515966108 22810803884 25402940689 39918906797 50805881378 62729710681 79837813594 101611762756 125459421362 159675627188 250918842724 279432347579 439107974767 558864695158 878215949534 1117729390316 1756431899068 3073755823369 6147511646738 12295023293476