Search a number
-
+
27851379920 = 2457133825739
BaseRepresentation
bin11001111100000100…
…100101010011010000
32122220000021200201122
4121330010211103100
5424014423124140
620443355421412
72004116552240
oct317404452320
978800250648
1027851379920
11108a2417a61
125493454868
13281b1b2c80
1414c2d43b20
15ad01aaab5
hex67c1254d0

27851379920 has 80 divisors (see below), whose sum is σ = 79697815680. Its totient is φ = 8814500352.

The previous prime is 27851379877. The next prime is 27851379943. The reversal of 27851379920 is 2997315872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1905590 + ... + 1920149.

It is an arithmetic number, because the mean of its divisors is an integer number (996222696).

Almost surely, 227851379920 is an apocalyptic number.

27851379920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27851379920 is an abundant number, since it is smaller than the sum of its proper divisors (51846435760).

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

27851379920 is a wasteful number, since it uses less digits than its factorization.

27851379920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825772 (or 3825766 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 27851379920 in words is "twenty-seven billion, eight hundred fifty-one million, three hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 3825739 7651478 15302956 19128695 26780173 30605912 38257390 49734607 53560346 61211824 76514780 99469214 107120692 133900865 153029560 198938428 214241384 248673035 267801730 306059120 348142249 397876856 428482768 497346070 535603460 696284498 795753712 994692140 1071206920 1392568996 1740711245 1989384280 2142413840 2785137992 3481422490 3978768560 5570275984 6962844980 13925689960 27851379920