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418207007146 = 24127581184913
BaseRepresentation
bin1100001010111110001…
…01001000000110101010
31110222110120021011102211
412011133011020012222
523322441443212041
6520042135315334
742133362623335
oct6053705100652
91428416234384
10418207007146
111513a6a53345
126907481bb4a
133058a70a456
14163542b761c
15ad2a042481
hex615f1481aa

418207007146 has 16 divisors (see below), whose sum is σ = 642637541448. Its totient is φ = 203994918400.

The previous prime is 418207007129. The next prime is 418207007167. The reversal of 418207007146 is 641700702814.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 310845276225 + 107361730921 = 557535^2 + 327661^2 .

It is a junction number, because it is equal to n+sod(n) for n = 418207007099 and 418207007108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2169186 + ... + 2354098.

Almost surely, 2418207007146 is an apocalyptic number.

418207007146 is a deficient number, since it is larger than the sum of its proper divisors (224430534302).

418207007146 is a wasteful number, since it uses less digits than its factorization.

418207007146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212537.

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 418207007146 in words is "four hundred eighteen billion, two hundred seven million, seven thousand, one hundred forty-six".

Divisors: 1 2 41 82 27581 55162 184913 369826 1130821 2261642 7581433 15162866 5100085453 10200170906 209103503573 418207007146