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918646414141 = 4161544967409
BaseRepresentation
bin11010101111000111001…
…01111101101100111101
310020211012001022001202111
431113203211331230331
5110022341440223031
61542004220454021
7123240625452661
oct15274345755475
93224161261674
10918646414141
11324660a51815
1212a0589aa311
13688218b6461
14326699dc8a1
1518d695201b1
hexd5e397db3d

918646414141 has 16 divisors (see below), whose sum is σ = 956669238000. Its totient is φ = 881373081600.

The previous prime is 918646414109. The next prime is 918646414229. The reversal of 918646414141 is 141414646819.

It can be written as a sum of positive squares in 8 ways, for example, as 411944465241 + 506701948900 = 641829^2 + 711830^2 .

It is a cyclic number.

It is not a de Polignac number, because 918646414141 - 25 = 918646414109 is a prime.

It is a super-2 number, since 2×9186464141412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918646412141) 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, 13594245 + ... + 13661653.

It is an arithmetic number, because the mean of its divisors is an integer number (59791827375).

Almost surely, 2918646414141 is an apocalyptic number.

It is an amenable number.

918646414141 is a deficient number, since it is larger than the sum of its proper divisors (38022823859).

918646414141 is a wasteful number, since it uses less digits than its factorization.

918646414141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72960.

The product of its digits is 663552, while the sum is 49.

The spelling of 918646414141 in words is "nine hundred eighteen billion, six hundred forty-six million, four hundred fourteen thousand, one hundred forty-one".

Divisors: 1 41 61 2501 5449 67409 223409 332389 2763769 4111949 13627949 168589909 367311641 15059777281 22406010101 918646414141