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127675000641 = 3293789613727
BaseRepresentation
bin111011011101000000…
…1011110011101000001
3110012112220001001002110
41312322001132131001
54042434300010031
6134353022205533
712136622412366
oct1667201363501
9405486031073
10127675000641
114a168233761
12208b21238a9
13c0692b8876
1462727b046d
1534c3ba4c46
hex1dba05e741

127675000641 has 64 divisors (see below), whose sum is σ = 183445516800. Its totient is φ = 78824503296.

The previous prime is 127675000627. The next prime is 127675000697. The reversal of 127675000641 is 146000576721.

It is not a de Polignac number, because 127675000641 - 218 = 127674738497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 127675000641.

It is not an unprimeable number, because it can be changed into a prime (127670000641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175618620 + ... + 175619346.

It is an arithmetic number, because the mean of its divisors is an integer number (2866336200).

Almost surely, 2127675000641 is an apocalyptic number.

127675000641 is the 190994-th nonagonal number.

It is an amenable number.

127675000641 is a deficient number, since it is larger than the sum of its proper divisors (55770516159).

127675000641 is a wasteful number, since it uses less digits than its factorization.

127675000641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498.

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 127675000641 in words is "one hundred twenty-seven billion, six hundred seventy-five million, six hundred forty-one", and thus it is an aban number.

Divisors: 1 3 29 37 87 89 111 267 613 727 1073 1839 2181 2581 3219 3293 7743 9879 17777 21083 22681 26899 53331 54557 63249 64703 68043 80697 95497 163671 194109 286491 445651 657749 780071 1336953 1582153 1876387 1973247 2018609 2340213 2394011 4746459 5629161 6055827 7182033 12923879 16489087 38771637 39662939 49467261 58539661 69426319 118988817 175618983 208278957 478183523 1150225231 1434550569 1467528743 3450675693 4402586229 42558333547 127675000641