Search a number
-
+
53242550235 = 35579916317
BaseRepresentation
bin110001100101100000…
…001101011111011011
312002102120020210100000
4301211200031133123
51333020043101420
640243112344043
73563254131660
oct614540153733
9162376223300
1053242550235
1120642039036
12a39a9a5023
135036788ac4
142811233a67
1515b939a690
hexc6580d7db

53242550235 has 96 divisors (see below), whose sum is σ = 109504991232. Its totient is φ = 24311041920.

The previous prime is 53242550213. The next prime is 53242550279. The reversal of 53242550235 is 53205524235.

53242550235 is a `hidden beast` number, since 5 + 32 + 42 + 550 + 2 + 35 = 666.

It is not a de Polignac number, because 53242550235 - 27 = 53242550107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53242550235.

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 95 ways as a sum of consecutive naturals, for example, 8425297 + ... + 8431613.

It is an arithmetic number, because the mean of its divisors is an integer number (1140676992).

Almost surely, 253242550235 is an apocalyptic number.

53242550235 is an abundant number, since it is smaller than the sum of its proper divisors (56262440997).

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

53242550235 is an equidigital number, since it uses as much as digits as its factorization.

53242550235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335 (or 7323 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

It can be divided in two parts, 532425 and 50235, that added together give a triangular number (582660 = T1079).

The spelling of 53242550235 in words is "fifty-three billion, two hundred forty-two million, five hundred fifty thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 991 1215 1701 2835 2973 4955 6317 6937 8505 8919 14865 18951 20811 26757 31585 34685 44219 44595 56853 62433 80271 94755 104055 132657 133785 170559 187299 221095 240813 284265 312165 397971 401355 511677 561897 663285 852795 936495 1193913 1204065 1535031 1685691 1989855 2558385 2809485 3581739 5969565 6260147 7675155 8428455 10745217 17908695 18780441 31300735 43821029 53726085 56341323 93902205 131463087 169023969 219105145 281706615 394389261 507071907 657315435 845119845 1183167783 1521215721 1971946305 2535359535 3549503349 5915838915 7606078605 10648510047 17747516745 53242550235