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53111315224 = 231137107157971
BaseRepresentation
bin110001011101101011…
…100101101100011000
312002002102022100202001
4301131223211230120
51332232444041344
640222103450344
73560101505422
oct613553455430
9162072270661
1053111315224
1120584a53250
12a362a569b4
13501552a156
1427dba31812
1515acac5ed4
hexc5dae5b18

53111315224 has 128 divisors (see below), whose sum is σ = 113449662720. Its totient is φ = 23097484800.

The previous prime is 53111315219. The next prime is 53111315233. The reversal of 53111315224 is 42251311135.

It is a junction number, because it is equal to n+sod(n) for n = 53111315192 and 53111315201.

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 31 ways as a sum of consecutive naturals, for example, 54697059 + ... + 54698029.

It is an arithmetic number, because the mean of its divisors is an integer number (886325490).

Almost surely, 253111315224 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 53111315224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56724831360).

53111315224 is an abundant number, since it is smaller than the sum of its proper divisors (60338347496).

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

53111315224 is a wasteful number, since it uses less digits than its factorization.

53111315224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1285 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

Adding to 53111315224 its reverse (42251311135), we get a palindrome (95362626359).

The spelling of 53111315224 in words is "fifty-three billion, one hundred eleven million, three hundred fifteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 107 148 157 214 296 314 407 428 628 814 856 971 1177 1256 1628 1727 1942 2354 3256 3454 3884 3959 4708 5809 6908 7768 7918 9416 10681 11618 13816 15836 16799 21362 23236 31672 33598 35927 42724 43549 46472 63899 67196 71854 85448 87098 103897 127798 134392 143708 152447 174196 184789 207794 255596 287416 304894 348392 369578 395197 415588 511192 609788 621563 739156 790394 831176 1142867 1219576 1243126 1478312 1580788 1676917 2285734 2486252 3161576 3353834 3844189 4571468 4972504 5640539 6707668 6837193 7688378 9142936 11281078 13415336 13674386 15376756 16311829 22562156 27348772 30753512 32623658 42286079 45124312 54697544 62045929 65247316 84572158 124091858 130494632 169144316 179430119 248183716 338288632 358860238 496367432 603537673 717720476 1207075346 1435440952 2414150692 4828301384 6638914403 13277828806 26555657612 53111315224