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2126305116 = 2232134543387
BaseRepresentation
bin111111010111100…
…1101011101011100
312111012000111021100
41332233031131130
513323313230431
6550554033100
7103456203165
oct17657153534
95435014240
102126305116
119a1275561
124b4118790
1327b69b110
1416257676c
15c6a114e6
hex7ebcd75c

2126305116 has 36 divisors (see below), whose sum is σ = 5788276312. Its totient is φ = 654247584.

The previous prime is 2126305061. The next prime is 2126305133. The reversal of 2126305116 is 6115036212.

2126305116 is a `hidden beast` number, since 2 + 12 + 630 + 5 + 1 + 16 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2126305116.

It is a congruent 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, 2271226 + ... + 2272161.

Almost surely, 22126305116 is an apocalyptic number.

2126305116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2126305116 is an abundant number, since it is smaller than the sum of its proper divisors (3661971196).

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

2126305116 is a wasteful number, since it uses less digits than its factorization.

2126305116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543410 (or 4543405 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2126305116 is about 46111.8760841499. The cubic root of 2126305116 is about 1285.9039430908.

The spelling of 2126305116 in words is "two billion, one hundred twenty-six million, three hundred five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4543387 9086774 13630161 18173548 27260322 40890483 54520644 59064031 81780966 118128062 163561932 177192093 236256124 354384186 531576279 708768372 1063152558 2126305116