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2117063380 = 2251743114447
BaseRepresentation
bin111111000101111…
…1101001011010100
312110112121221222211
41332023331023110
513313432012010
6550024003204
7103314512305
oct17613751324
95415557884
102117063380
11997033063
124b1000504
132797b3733
1416124c7ac
15c5cd808a
hex7e2fd2d4

2117063380 has 48 divisors (see below), whose sum is σ = 4718601216. Its totient is φ = 795107840.

The previous prime is 2117063369. The next prime is 2117063411. The reversal of 2117063380 is 833607112.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 139317 + ... + 153763.

It is an arithmetic number, because the mean of its divisors is an integer number (98304192).

Almost surely, 22117063380 is an apocalyptic number.

2117063380 is a gapful number since it is divisible by the number (20) 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 2117063380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359300608).

2117063380 is an abundant number, since it is smaller than the sum of its proper divisors (2601537836).

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

2117063380 is a wasteful number, since it uses less digits than its factorization.

2117063380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904 (or 14902 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2117063380 is about 46011.5570264689. The cubic root of 2117063380 is about 1284.0382271723.

The spelling of 2117063380 in words is "two billion, one hundred seventeen million, sixty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 431 862 1724 2155 4310 7327 8620 14447 14654 28894 29308 36635 57788 72235 73270 144470 146540 245599 288940 491198 982396 1227995 2455990 4911980 6226657 12453314 24906628 31133285 62266570 105853169 124533140 211706338 423412676 529265845 1058531690 2117063380