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52135502224 = 2413243912
BaseRepresentation
bin110000100011100001…
…001010000110010000
311222120102010220221211
4300203201022012100
51323233142032344
635541204425504
73523652312521
oct604341120620
9158512126854
1052135502224
112012414a523
12a1300a8294
134bbb30b100
1427481bc848
1515520c1334
hexc2384a190

52135502224 has 45 divisors (see below), whose sum is σ = 109405353729. Its totient is φ = 24057059520.

The previous prime is 52135502201. The next prime is 52135502239. The reversal of 52135502224 is 42220553125.

The square root of 52135502224 is 228332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7712352400 + 44423149824 = 87820^2 + 210768^2 .

It is a super-2 number, since 2×521355022242 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11871069 + ... + 11875459.

Almost surely, 252135502224 is an apocalyptic number.

52135502224 is the 228332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52135502224

52135502224 is an abundant number, since it is smaller than the sum of its proper divisors (57269851505).

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

52135502224 is an frugal number, since it uses more digits than its factorization.

52135502224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8816 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 52135502224 in words is "fifty-two billion, one hundred thirty-five million, five hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 4391 8782 17564 35128 57083 70256 114166 228332 456664 742079 913328 1484158 2968316 5936632 11873264 19280881 38561762 77123524 154247048 250651453 308494096 501302906 1002605812 2005211624 3258468889 4010423248 6516937778 13033875556 26067751112 52135502224