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2168807368 = 2371317315653
BaseRepresentation
bin1000000101000101…
…0101111111001000
312121010222211101211
42001101111333020
513420203313433
6555113022504
7104513362360
oct20121257710
95533884354
102168807368
11a13265092
125063b4a34
1328742c890
1416807b9a0
15ca6098cd
hex81455fc8

2168807368 has 128 divisors (see below), whose sum is σ = 5471262720. Its totient is φ = 781332480.

The previous prime is 2168807363. The next prime is 2168807371. The reversal of 2168807368 is 8637088612.

It is not an unprimeable number, because it can be changed into a prime (2168807363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380830 + ... + 386482.

It is an arithmetic number, because the mean of its divisors is an integer number (42744240).

Almost surely, 22168807368 is an apocalyptic number.

2168807368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168807368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735631360).

2168807368 is an abundant number, since it is smaller than the sum of its proper divisors (3302455352).

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

2168807368 is a wasteful number, since it uses less digits than its factorization.

2168807368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 2168807368 is about 46570.4559565397. The cubic root of 2168807368 is about 1294.4153665611.

The spelling of 2168807368 in words is "two billion, one hundred sixty-eight million, eight hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 17 26 28 31 34 52 56 62 68 91 104 119 124 136 182 217 221 238 248 364 403 434 442 476 527 728 806 868 884 952 1054 1547 1612 1736 1768 2108 2821 3094 3224 3689 4216 5642 5653 6188 6851 7378 11284 11306 12376 13702 14756 22568 22612 27404 29512 39571 45224 47957 54808 73489 79142 95914 96101 146978 158284 175243 191828 192202 293956 316568 350486 383656 384404 514423 587912 672707 700972 768808 1028846 1226701 1249313 1345414 1401944 2057692 2278159 2453402 2498626 2690828 2979131 4115384 4556318 4906804 4997252 5381656 5958262 8745191 9112636 9813608 9994504 11916524 15947113 17490382 18225272 20853917 23833048 31894226 34980764 38728703 41707834 63788452 69961528 77457406 83415668 127576904 154914812 166831336 271100921 309829624 542201842 1084403684 2168807368