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127746883945 = 5173753977901
BaseRepresentation
bin111011011111001001…
…1101100000101101001
3110012201220022002110001
41312332103230011221
54043111200241240
6134404111023001
712141454411612
oct1667623540551
9405656262401
10127746883945
114a1a487074a
122091220aa61
13c07b166675
14627c162c09
1534ca15389a
hex1dbe4ec169

127746883945 has 64 divisors (see below), whose sum is σ = 171618543936. Its totient is φ = 90862387200.

The previous prime is 127746883921. The next prime is 127746884039. The reversal of 127746883945 is 549388647721.

It can be written as a sum of positive squares in 32 ways, for example, as 10894349376 + 116852534569 = 104376^2 + 341837^2 .

It is a de Polignac number, because none of the positive numbers 2k-127746883945 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16164495 + ... + 16172395.

It is an arithmetic number, because the mean of its divisors is an integer number (2681539749).

Almost surely, 2127746883945 is an apocalyptic number.

It is an amenable number.

127746883945 is a deficient number, since it is larger than the sum of its proper divisors (43871659991).

127746883945 is a wasteful number, since it uses less digits than its factorization.

127746883945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8110.

The product of its digits is 81285120, while the sum is 64.

The spelling of 127746883945 in words is "one hundred twenty-seven billion, seven hundred forty-six million, eight hundred eighty-three thousand, nine hundred forty-five".

Divisors: 1 5 17 37 53 85 97 185 265 485 629 901 1649 1961 3145 3589 4505 5141 7901 8245 9805 17945 25705 33337 39505 61013 87397 134317 166685 190217 292337 305065 418753 436985 671585 766397 951085 1461685 2093765 3233689 3831985 4969729 7118801 13028749 15493861 16168445 24848645 28356689 35594005 40619041 65143745 77469305 141783445 203095205 263395637 482063713 690523697 1316978185 1502904517 2410318565 3452618485 7514522585 25549376789 127746883945