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12328476283249 = 7413125472
BaseRepresentation
bin1011001101100111001001…
…1100110001000101110001
31121122120221201011012110221
42303121302130301011301
53103442204412030444
642115342424453041
72411463064240000
oct263316234610561
947576851135427
1012328476283249
113a23528506195
12147141191a181
136b5755009229
143089b6a50c37
15165a5a576a84
hexb3672731171

12328476283249 has 45 divisors (see below), whose sum is σ = 14519537540601. Its totient is φ = 10467428123880.

The previous prime is 12328476283237. The next prime is 12328476283283. The reversal of 12328476283249 is 94238267482321.

The square root of 12328476283249 is 3511193.

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

12328476283249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12328476283249 - 221 = 12328474186097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12328476283649) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22538347594 + ... + 22538348140.

Almost surely, 212328476283249 is an apocalyptic number.

12328476283249 is the 3511193-rd square number.

12328476283249 is the 1755597-th centered octagonal number.

It is an amenable number.

12328476283249 is a deficient number, since it is larger than the sum of its proper divisors (2191061257352).

12328476283249 is an frugal number, since it uses more digits than its factorization.

12328476283249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 685 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 61.

The spelling of 12328476283249 in words is "twelve trillion, three hundred twenty-eight billion, four hundred seventy-six million, two hundred eighty-three thousand, two hundred forty-nine".

Divisors: 1 7 49 131 343 547 917 2401 3829 6419 17161 26803 44933 71657 120127 187621 299209 314531 501599 840889 1313347 2094463 3511193 5886223 9387067 14661241 24578351 39196379 41203561 65709469 102628687 172048457 274374653 459966283 718400809 1920622571 3219763981 5134725649 13444357997 22538347867 35943079543 94110505979 251601556801 1761210897607 12328476283249