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2116716327 = 331167106373
BaseRepresentation
bin111111000101010…
…1000011100100111
312110111222022221000
41332022220130213
513313334410302
6550012324343
7103311535425
oct17612503447
95414868830
102116716327
11996916340
124b0a736b3
132796c178b
1416119c115
15c5c6a31c
hex7e2a8727

2116716327 has 32 divisors (see below), whose sum is σ = 3472047360. Its totient is φ = 1263699360.

The previous prime is 2116716271. The next prime is 2116716331. The reversal of 2116716327 is 7236176112.

It is a happy number.

2116716327 is a `hidden beast` number, since 2 + 1 + 16 + 7 + 1 + 632 + 7 = 666.

It is not a de Polignac number, because 2116716327 - 215 = 2116683559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2116716291 and 2116716300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116716377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33288 + ... + 73085.

It is an arithmetic number, because the mean of its divisors is an integer number (108501480).

Almost surely, 22116716327 is an apocalyptic number.

2116716327 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2116716327 is a deficient number, since it is larger than the sum of its proper divisors (1355331033).

2116716327 is a wasteful number, since it uses less digits than its factorization.

2116716327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106460 (or 106454 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 2116716327 is about 46007.7855041948. The cubic root of 2116716327 is about 1283.9680586429.

The spelling of 2116716327 in words is "two billion, one hundred sixteen million, seven hundred sixteen thousand, three hundred twenty-seven".

Divisors: 1 3 9 11 27 33 67 99 201 297 603 737 1809 2211 6633 19899 106373 319119 957357 1170103 2872071 3510309 7126991 10530927 21380973 31592781 64142919 78396901 192428757 235190703 705572109 2116716327