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2046394116 = 2232134372637
BaseRepresentation
bin111100111111001…
…0111111100000100
312021121122120222200
41321332113330010
513142334102431
6535021154500
7101466030414
oct17176277404
95247576880
102046394116
11960155208
124913bba30
13267c6c3c0
14155ad4644
15be9c8ee6
hex79f97f04

2046394116 has 36 divisors (see below), whose sum is σ = 5570740812. Its totient is φ = 629659584.

The previous prime is 2046394109. The next prime is 2046394169. The reversal of 2046394116 is 6114936402.

2046394116 is a `hidden beast` number, since 2 + 0 + 4 + 639 + 4 + 1 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 426009600 + 1620384516 = 20640^2 + 40254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2185851 + ... + 2186786.

Almost surely, 22046394116 is an apocalyptic number.

2046394116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2046394116 is an abundant number, since it is smaller than the sum of its proper divisors (3524346696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2046394116 is a wasteful number, since it uses less digits than its factorization.

2046394116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372660 (or 4372655 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2046394116 is about 45237.0878373045. The cubic root of 2046394116 is about 1269.5888300469.

The spelling of 2046394116 in words is "two billion, forty-six million, three hundred ninety-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4372637 8745274 13117911 17490548 26235822 39353733 52471644 56844281 78707466 113688562 157414932 170532843 227377124 341065686 511598529 682131372 1023197058 2046394116