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2116138662 = 233113739551
BaseRepresentation
bin111111000100001…
…1011011010100110
312110110212222112000
41332020123122212
513313212414122
6545552110130
7103303611321
oct17610333246
95413788460
102116138662
11996561330
124b0835346
1327954b871
1416108b7b8
15c5ba40ac
hex7e21b6a6

2116138662 has 64 divisors (see below), whose sum is σ = 5144325120. Its totient is φ = 639468000.

The previous prime is 2116138649. The next prime is 2116138693. The reversal of 2116138662 is 2668316112.

It is a happy number.

2116138662 is a `hidden beast` number, since 211 + 6 + 1 + 386 + 62 = 666.

It is a super-2 number, since 2×21161386622 = 8956085673622300488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 216787 + ... + 226337.

It is an arithmetic number, because the mean of its divisors is an integer number (80380080).

Almost surely, 22116138662 is an apocalyptic number.

2116138662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116138662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572162560).

2116138662 is an abundant number, since it is smaller than the sum of its proper divisors (3028186458).

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

2116138662 is a wasteful number, since it uses less digits than its factorization.

2116138662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946 (or 9940 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2116138662 is about 46001.5071709613. The cubic root of 2116138662 is about 1283.8512470700.

The spelling of 2116138662 in words is "two billion, one hundred sixteen million, one hundred thirty-eight thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 373 594 746 1119 2238 3357 4103 6714 8206 9551 10071 12309 19102 20142 24618 28653 36927 57306 73854 85959 105061 110781 171918 210122 221562 257877 315183 515754 630366 945549 1891098 2836647 3562523 5673294 7125046 10687569 21375138 32062707 39187753 64125414 78375506 96188121 117563259 192376242 235126518 352689777 705379554 1058069331 2116138662