Search a number
-
+
2111723808 = 253431732957
BaseRepresentation
bin111110111011110…
…0101100100100000
312110011120200110220
41331313211210200
513311100130213
6545313323040
7103221233115
oct17567454440
95404520426
102111723808
11994016397
124ab266480
1327866421c
1416065c90c
15c55d0e23
hex7dde5920

2111723808 has 96 divisors (see below), whose sum is σ = 5706904896. Its totient is φ = 683332608.

The previous prime is 2111723797. The next prime is 2111723849. The reversal of 2111723808 is 8083271112.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 712666 + ... + 715622.

It is an arithmetic number, because the mean of its divisors is an integer number (59446926).

Almost surely, 22111723808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111723808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853452448).

2111723808 is an abundant number, since it is smaller than the sum of its proper divisors (3595181088).

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

2111723808 is a wasteful number, since it uses less digits than its factorization.

2111723808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 2111723808 is about 45953.4961455600. The cubic root of 2111723808 is about 1282.9578018253.

The spelling of 2111723808 in words is "two billion, one hundred eleven million, seven hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 173 258 344 346 516 519 688 692 1032 1038 1376 1384 2064 2076 2768 2957 4128 4152 5536 5914 7439 8304 8871 11828 14878 16608 17742 22317 23656 29756 35484 44634 47312 59512 70968 89268 94624 119024 127151 141936 178536 238048 254302 283872 357072 381453 508604 511561 714144 762906 1017208 1023122 1525812 1534683 2034416 2046244 3051624 3069366 4068832 4092488 6103248 6138732 8184976 12206496 12277464 16369952 21997123 24554928 43994246 49109856 65991369 87988492 131982738 175976984 263965476 351953968 527930952 703907936 1055861904 2111723808