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106768471777 = 1199712917541
BaseRepresentation
bin110001101101111100…
…1011001011011100001
3101012120212201100000121
41203123321121123201
53222130212044102
6121014310520241
710466552015242
oct1433371313341
9335525640017
10106768471777
114130a023130
1218838666081
13a0b6b6c926
14524bd4ccc9
152b9d56cb37
hex18dbe596e1

106768471777 has 16 divisors (see below), whose sum is σ = 116697305664. Its totient is φ = 96876936000.

The previous prime is 106768471759. The next prime is 106768471793. The reversal of 106768471777 is 777174867601.

It is a cyclic number.

It is not a de Polignac number, because 106768471777 - 215 = 106768439009 is a prime.

It is a super-2 number, since 2×1067684717772 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106768471177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14154627 + ... + 14162167.

It is an arithmetic number, because the mean of its divisors is an integer number (7293581604).

Almost surely, 2106768471777 is an apocalyptic number.

It is an amenable number.

106768471777 is a deficient number, since it is larger than the sum of its proper divisors (9928833887).

106768471777 is a wasteful number, since it uses less digits than its factorization.

106768471777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840.

The product of its (nonzero) digits is 19361664, while the sum is 61.

The spelling of 106768471777 in words is "one hundred six billion, seven hundred sixty-eight million, four hundred seventy-one thousand, seven hundred seventy-seven".

Divisors: 1 11 997 1291 7541 10967 14201 82951 1287127 7518377 9735431 14158397 82702147 107089741 9706224707 106768471777