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127706520051 = 33115971102647
BaseRepresentation
bin111011011101111100…
…1101101100111110011
3110012122002100101121000
41312323321231213303
54043020332120201
6134400105533043
712140454336615
oct1667371554763
9405562311530
10127706520051
114a184001760
12209007a4183
13c0729a32c6
146276a56db5
1534c682dd86
hex1dbbe6d9f3

127706520051 has 64 divisors (see below), whose sum is σ = 212850892800. Its totient is φ = 75013696800.

The previous prime is 127706520043. The next prime is 127706520101. The reversal of 127706520051 is 150025607721.

127706520051 is a `hidden beast` number, since 12 + 7 + 70 + 6 + 520 + 0 + 51 = 666.

It is not a de Polignac number, because 127706520051 - 23 = 127706520043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127706519988 and 127706520015.

It is not an unprimeable number, because it can be changed into a prime (127706520001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1192810 + ... + 1295456.

It is an arithmetic number, because the mean of its divisors is an integer number (3325795200).

Almost surely, 2127706520051 is an apocalyptic number.

127706520051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

127706520051 is a deficient number, since it is larger than the sum of its proper divisors (85144372749).

127706520051 is a wasteful number, since it uses less digits than its factorization.

127706520051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102797 (or 102791 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 127706520051 in words is "one hundred twenty-seven billion, seven hundred six million, five hundred twenty thousand, fifty-one".

Divisors: 1 3 9 11 27 33 59 71 99 177 213 297 531 639 649 781 1593 1917 1947 2343 4189 5841 7029 12567 17523 21087 37701 46079 102647 113103 138237 307941 414711 923823 1129117 1244133 2771469 3387351 6056173 7287937 10162053 18168519 21863811 30486159 54505557 65591433 66617903 80167307 163516671 196774299 199853709 240501921 429988283 599561127 721505763 1289964849 1798683381 2164517289 3869894547 4729871113 11609683641 14189613339 42568840017 127706520051