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52113584656 = 24723122632
BaseRepresentation
bin110000100010001101…
…100011001000010000
311222111212220101201001
4300202031203020100
51323212034202111
635535102551344
73523265106100
oct604215431020
9158455811631
1052113584656
112011283a531
12a124898554
134bb6905c33
142745315200
1515501e21c1
hexc22363210

52113584656 has 135 divisors (see below), whose sum is σ = 121829294223. Its totient is φ = 21531746880.

The previous prime is 52113584597. The next prime is 52113584671. The reversal of 52113584656 is 65648531125.

The square root of 52113584656 is 228284.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 198150381 + ... + 198150643.

Almost surely, 252113584656 is an apocalyptic number.

52113584656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

52113584656 is the 228284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52113584656

52113584656 is an abundant number, since it is smaller than the sum of its proper divisors (69715709567).

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

52113584656 is an equidigital number, since it uses as much as digits as its factorization.

52113584656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 303 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The spelling of 52113584656 in words is "fifty-two billion, one hundred thirteen million, five hundred eighty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 263 392 434 496 526 784 868 961 1052 1519 1736 1841 1922 2104 3038 3472 3682 3844 4208 6076 6727 7364 7688 8153 12152 12887 13454 14728 15376 16306 24304 25774 26908 29456 32612 47089 51548 53816 57071 65224 69169 94178 103096 107632 114142 130448 138338 188356 206192 228284 252743 276676 376712 399497 456568 484183 505486 553352 753424 798994 913136 968366 1010972 1106704 1597988 1769201 1936732 2021944 2144239 3195976 3389281 3538402 3873464 4043888 4288478 6391952 6778562 7076804 7746928 8576956 12384407 13557124 14153608 15009673 17153912 24768814 27114248 28307216 30019346 34307824 49537628 54228496 60038692 66471409 99075256 105067711 120077384 132942818 198150512 210135422 240154768 265885636 420270844 465299863 531771272 840541688 930599726 1063542544 1681083376 1861199452 3257099041 3722398904 6514198082 7444797808 13028396164 26056792328 52113584656