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10417674105 = 325231503869
BaseRepresentation
bin10011011001111000…
…10001011101111001
3222220000200200021200
421230330101131321
5132313411032410
64441422524413
7516105524466
oct115474213571
928800620250
1010417674105
114466561823
122028a36709
13ca03a9607
1470b80866d
1540e8b33c0
hex26cf11779

10417674105 has 12 divisors (see below), whose sum is σ = 18057301860. Its totient is φ = 5556092832.

The previous prime is 10417674077. The next prime is 10417674121. The reversal of 10417674105 is 50147671401.

It can be written as a sum of positive squares in 2 ways, for example, as 4807064889 + 5610609216 = 69333^2 + 74904^2 .

It is not a de Polignac number, because 10417674105 - 26 = 10417674041 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10417674105.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 115751890 + ... + 115751979.

It is an arithmetic number, because the mean of its divisors is an integer number (1504775155).

Almost surely, 210417674105 is an apocalyptic number.

10417674105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10417674105 is a deficient number, since it is larger than the sum of its proper divisors (7639627755).

10417674105 is a wasteful number, since it uses less digits than its factorization.

10417674105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231503880 (or 231503877 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10417674105 in words is "ten billion, four hundred seventeen million, six hundred seventy-four thousand, one hundred five".

Divisors: 1 3 5 9 15 45 231503869 694511607 1157519345 2083534821 3472558035 10417674105