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127004086045 = 51131731299341
BaseRepresentation
bin111011001001000001…
…0001000111100011101
3110010211010121001021201
41312102002020330131
54040101021223140
6134202254155501
712114164630224
oct1662202107435
9403733531251
10127004086045
114995354a691
12207454b2b91
13bc902c1095
14620b647cbb
153484d2a49a
hex1d92088f1d

127004086045 has 16 divisors (see below), whose sum is σ = 154642487472. Its totient is φ = 100121943040.

The previous prime is 127004085941. The next prime is 127004086049. The reversal of 127004086045 is 540680400721.

It can be written as a sum of positive squares in 8 ways, for example, as 27948483684 + 99055602361 = 167178^2 + 314731^2 .

It is not a de Polignac number, because 127004086045 - 225 = 126970531613 is a prime.

It is a super-2 number, since 2×1270040860452 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127004085995 and 127004086013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127004086049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 551926 + ... + 747415.

It is an arithmetic number, because the mean of its divisors is an integer number (9665155467).

Almost surely, 2127004086045 is an apocalyptic number.

It is an amenable number.

127004086045 is a deficient number, since it is larger than the sum of its proper divisors (27638401427).

127004086045 is a wasteful number, since it uses less digits than its factorization.

127004086045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299632.

The product of its (nonzero) digits is 53760, while the sum is 37.

Adding to 127004086045 its reverse (540680400721), we get a palindrome (667684486766).

The spelling of 127004086045 in words is "one hundred twenty-seven billion, four million, eighty-six thousand, forty-five".

Divisors: 1 5 113 173 565 865 19549 97745 1299341 6496705 146825533 224785993 734127665 1123929965 25400817209 127004086045