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918718416004 = 22412116892
BaseRepresentation
bin11010101111001111110…
…00101000010010000100
310020211101001210010202011
431113213320220102010
5110023013403303004
61542015312024004
7123242461454644
oct15274770502204
93224331703664
10918718416004
1132469865a894
1212a078b32004
13688337a61cc
14326753c2524
1518d709e4004
hexd5e7e28484

918718416004 has 27 divisors (see below), whose sum is σ = 1648068241071. Its totient is φ = 448116984960.

The previous prime is 918718416001. The next prime is 918718416019. The reversal of 918718416004 is 400614817819.

It is a happy number.

The square root of 918718416004 is 958498.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15154102404 + 903564313600 = 123102^2 + 950560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (918718416001) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 78590992 + ... + 78602680.

Almost surely, 2918718416004 is an apocalyptic number.

918718416004 is the 958498-th square number.

It is an amenable number.

918718416004 is a deficient number, since it is larger than the sum of its proper divisors (729349825067).

918718416004 is an frugal number, since it uses more digits than its factorization.

918718416004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23464 (or 11732 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

Multiplying 918718416004 by its sum of digits (49), we get a square (45017202384196 = 67094862).

The spelling of 918718416004 in words is "nine hundred eighteen billion, seven hundred eighteen million, four hundred sixteen thousand, four".

Divisors: 1 2 4 41 82 164 1681 3362 6724 11689 23378 46756 479249 958498 1916996 19649209 39298418 78596836 136632721 273265442 546530884 5601941561 11203883122 22407766244 229679604001 459359208002 918718416004