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11916473805 = 325162732
BaseRepresentation
bin10110001100100011…
…01111010111001101
31010202110221120221200
423012101233113031
5143401104130210
65250243220113
7601205233065
oct130621572715
933673846850
1011916473805
1150655a2165
122386977639
13117ba6b442
148108b83a5
1549b2720c0
hex2c646f5cd

11916473805 has 18 divisors (see below), whose sum is σ = 20656490634. Its totient is φ = 6355062144.

The previous prime is 11916473711. The next prime is 11916473831. The reversal of 11916473805 is 50837461911.

11916473805 is a `hidden beast` number, since 11 + 91 + 6 + 473 + 80 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7528338756 + 4388135049 = 86766^2 + 66243^2 .

It is not a de Polignac number, because 11916473805 - 27 = 11916473677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 724149 + ... + 740421.

It is an arithmetic number, because the mean of its divisors is an integer number (1147582813).

Almost surely, 211916473805 is an apocalyptic number.

11916473805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11916473805 is a deficient number, since it is larger than the sum of its proper divisors (8740016829).

11916473805 is an frugal number, since it uses more digits than its factorization.

11916473805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32557 (or 16281 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

Multiplying 11916473805 by its sum of digits (45), we get a square (536241321225 = 7322852).

11916473805 divided by its sum of digits (45) gives a square (264810529 = 162732).

The spelling of 11916473805 in words is "eleven billion, nine hundred sixteen million, four hundred seventy-three thousand, eight hundred five".

Divisors: 1 3 5 9 15 45 16273 48819 81365 146457 244095 732285 264810529 794431587 1324052645 2383294761 3972157935 11916473805