Search a number
-
+
253060355008 = 2667271217771
BaseRepresentation
bin1110101110101110010…
…0101001001111000000
3220012012012200222222001
43223223210221033000
513121231422330013
6312130533353344
724166033345366
oct3535344511700
9805165628861
10253060355008
119835aa7826a
1241065498854
131ab2c115b46
14c369049636
1568b1830ddd
hex3aeb9293c0

253060355008 has 56 divisors (see below), whose sum is σ = 511544685824. Its totient is φ = 124181164800.

The previous prime is 253060354933. The next prime is 253060355123. The reversal of 253060355008 is 800553060352.

253060355008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 1053163 + ... + 1270933.

Almost surely, 2253060355008 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 253060355008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255772342912).

253060355008 is an abundant number, since it is smaller than the sum of its proper divisors (258484330816).

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

253060355008 is a wasteful number, since it uses less digits than its factorization.

253060355008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218121 (or 218111 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 253060355008 in words is "two hundred fifty-three billion, sixty million, three hundred fifty-five thousand, eight".

Divisors: 1 2 4 8 16 32 64 67 134 268 271 536 542 1072 1084 2144 2168 4288 4336 8672 17344 18157 36314 72628 145256 217771 290512 435542 581024 871084 1162048 1742168 3484336 6968672 13937344 14590657 29181314 58362628 59015941 116725256 118031882 233450512 236063764 466901024 472127528 933802048 944255056 1888510112 3777020224 3954068047 7908136094 15816272188 31632544376 63265088752 126530177504 253060355008