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12442872518452 = 221723417113719949
BaseRepresentation
bin1011010100010001010011…
…1111110001011100110100
31122001112020011212001211001
42311010110333301130310
53112331000331042302
642244102101053044
72422652660215465
oct265042477613464
948045204761731
1012442872518452
113a67aa1173932
12148b6189b7184
136c348624b62c
14310349a4cd6c
15168a035b2787
hexb5114ff1734

12442872518452 has 192 divisors, whose sum is σ = 25175932185600. Its totient is φ = 5347723673600.

The previous prime is 12442872518441. The next prime is 12442872518471. The reversal of 12442872518452 is 25481527824421.

It is a happy number.

It is a super-3 number, since 3×124428725184523 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12442872518393 and 12442872518402.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 623724174 + ... + 623744122.

It is an arithmetic number, because the mean of its divisors is an integer number (131124646800).

Almost surely, 212442872518452 is an apocalyptic number.

It is an amenable number.

12442872518452 is an abundant number, since it is smaller than the sum of its proper divisors (12733059667148).

12442872518452 is a wasteful number, since it uses less digits than its factorization.

12442872518452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20242 (or 20240 counting only the distinct ones).

The product of its digits is 11468800, while the sum is 55.

The spelling of 12442872518452 in words is "twelve trillion, four hundred forty-two billion, eight hundred seventy-two million, five hundred eighteen thousand, four hundred fifty-two".