Search a number
-
+
272081998880 = 2551772995917
BaseRepresentation
bin1111110101100101011…
…0011101010000100000
3222000021212021121220122
43331121112131100200
513424210442431010
6324554233255412
725441305555146
oct3753126352040
9860255247818
10272081998880
11a54312168aa
1244893864568
131c870bc1013
14d251419596
157126743855
hex3f5959d420

272081998880 has 48 divisors (see below), whose sum is σ = 642836680920. Its totient is φ = 108825526272.

The previous prime is 272081998861. The next prime is 272081998889. The reversal of 272081998880 is 88899180272.

272081998880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 243060832144 + 29021166736 = 493012^2 + 170356^2 .

It is a super-2 number, since 2×2720819988802 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272081998889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2788682 + ... + 2884598.

Almost surely, 2272081998880 is an apocalyptic number.

272081998880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272081998880 is an abundant number, since it is smaller than the sum of its proper divisors (370754682040).

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

272081998880 is a wasteful number, since it uses less digits than its factorization.

272081998880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113661 (or 113653 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 62.

The spelling of 272081998880 in words is "two hundred seventy-two billion, eighty-one million, nine hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 17729 35458 70916 88645 95917 141832 177290 191834 283664 354580 383668 479585 567328 709160 767336 959170 1418320 1534672 1918340 2836640 3069344 3836680 7673360 15346720 1700512493 3401024986 6802049972 8502562465 13604099944 17005124930 27208199888 34010249860 54416399776 68020499720 136040999440 272081998880