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12455766676576 = 252958012313767
BaseRepresentation
bin1011010101000001010110…
…0011000101010001100000
31122002202111210111011112001
42311100111203011101200
53113033402232122301
642254033351413344
72423620336600306
oct265202543052140
948082453434461
1012455766676576
113a72508627763
121492017084254
136c475c7127b2
14310c10306276
1516900a5a8c01
hexb54158c5460

12455766676576 has 48 divisors (see below), whose sum is σ = 25372270859040. Its totient is φ = 6012089574400.

The previous prime is 12455766676541. The next prime is 12455766676649. The reversal of 12455766676576 is 67567666755421.

It is a super-2 number, since 2×124557666765762 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12455766676499 and 12455766676508.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4226445 + ... + 6540211.

It is an arithmetic number, because the mean of its divisors is an integer number (528588976230).

Almost surely, 212455766676576 is an apocalyptic number.

12455766676576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12455766676576 is an abundant number, since it is smaller than the sum of its proper divisors (12916504182464).

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

12455766676576 is a wasteful number, since it uses less digits than its factorization.

12455766676576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319607 (or 2319599 counting only the distinct ones).

The product of its digits is 2667168000, while the sum is 73.

The spelling of 12455766676576 in words is "twelve trillion, four hundred fifty-five billion, seven hundred sixty-six million, six hundred seventy-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 5801 11602 23204 46408 92816 168229 185632 336458 672916 1345832 2313767 2691664 4627534 5383328 9255068 18510136 37020272 67099243 74040544 134198486 268396972 536793944 1073587888 2147175776 13422162367 26844324734 53688649468 107377298936 214754597872 389242708643 429509195744 778485417286 1556970834572 3113941669144 6227883338288 12455766676576