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918646005505 = 5101218010901
BaseRepresentation
bin11010101111000111001…
…00011001111100000001
310020211012000112022012211
431113203210121330001
5110022341334134010
61542004204022121
7123240622131424
oct15274344317401
93224160468184
10918646005505
113246607a27a8
1212a058831941
13688217a2467
14326699339bb
1518d6948e08a
hexd5e3919f01

918646005505 has 12 divisors (see below), whose sum is σ = 1113397939836. Its totient is φ = 727640360000.

The previous prime is 918646005493. The next prime is 918646005533. The reversal of 918646005505 is 505500646819.

918646005505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 17612209521 + 901033795984 = 132711^2 + 949228^2 .

It is not a de Polignac number, because 918646005505 - 225 = 918612451073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8954446 + ... + 9056455.

It is an arithmetic number, because the mean of its divisors is an integer number (92783161653).

Almost surely, 2918646005505 is an apocalyptic number.

It is an amenable number.

918646005505 is a deficient number, since it is larger than the sum of its proper divisors (194751934331).

918646005505 is a wasteful number, since it uses less digits than its factorization.

918646005505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18011108 (or 18011007 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

The spelling of 918646005505 in words is "nine hundred eighteen billion, six hundred forty-six million, five thousand, five hundred five".

Divisors: 1 5 101 505 10201 51005 18010901 90054505 1819101001 9095505005 183729201101 918646005505