Search a number
-
+
53534551120 = 2453718085997
BaseRepresentation
bin110001110110111010…
…000110110001010000
312010011220200222020121
4301312322012301100
51334114321113440
640332103120024
73603431114341
oct616672066120
9163156628217
1053534551120
1120781949686
12a460743014
1350821159ab
14283bd240c8
1515d4d2934a
hexc76e86c50

53534551120 has 40 divisors (see below), whose sum is σ = 127831833864. Its totient is φ = 20835067392.

The previous prime is 53534551111. The next prime is 53534551121. The reversal of 53534551120 is 2115543535.

It can be written as a sum of positive squares in 4 ways, for example, as 7082232336 + 46452318784 = 84156^2 + 215528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53534551121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9040039 + ... + 9045958.

Almost surely, 253534551120 is an apocalyptic number.

It is an amenable number.

53534551120 is an abundant number, since it is smaller than the sum of its proper divisors (74297282744).

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

53534551120 is a wasteful number, since it uses less digits than its factorization.

53534551120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18086047 (or 18086041 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 34.

The spelling of 53534551120 in words is "fifty-three billion, five hundred thirty-four million, five hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 18085997 36171994 72343988 90429985 144687976 180859970 289375952 361719940 669181889 723439880 1338363778 1446879760 2676727556 3345909445 5353455112 6691818890 10706910224 13383637780 26767275560 53534551120