Search a number
-
+
53314278696 = 233272103314629
BaseRepresentation
bin110001101001110001…
…110101010100101000
312002121120012222021200
4301221301311110220
51333141423404241
640254154004200
73565114614600
oct615161652450
9162546188250
1053314278696
112067957a758
12a3baa16660
1350485b1293
14281a985c00
1515c08184b6
hexc69c75528

53314278696 has 144 divisors (see below), whose sum is σ = 168141273300. Its totient is φ = 15216864768.

The previous prime is 53314278617. The next prime is 53314278763. The reversal of 53314278696 is 69687241335.

53314278696 is a `hidden beast` number, since 53 + 3 + 1 + 427 + 86 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52491392100 + 822886596 = 229110^2 + 28686^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3637110 + ... + 3651738.

Almost surely, 253314278696 is an apocalyptic number.

53314278696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53314278696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84070636650).

53314278696 is an abundant number, since it is smaller than the sum of its proper divisors (114826994604).

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

53314278696 is a wasteful number, since it uses less digits than its factorization.

53314278696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15688 (or 15674 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 53314278696 in words is "fifty-three billion, three hundred fourteen million, two hundred seventy-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1033 1176 1764 2066 3099 3528 4132 6198 7231 8264 9297 12396 14462 14629 18594 21693 24792 28924 29258 37188 43386 43887 50617 57848 58516 65079 74376 86772 87774 101234 102403 117032 130158 131661 151851 173544 175548 202468 204806 260316 263322 303702 307209 351096 404936 409612 455553 520632 526644 607404 614418 716821 819224 911106 921627 1053288 1214808 1228836 1433642 1822212 1843254 2150463 2457672 2867284 3644424 3686508 4300926 5734568 6451389 7373016 8601852 12902778 15111757 17203704 25805556 30223514 45335271 51611112 60447028 90670542 105782299 120894056 136005813 181341084 211564598 272011626 317346897 362682168 423129196 544023252 634693794 740476093 846258392 952040691 1088046504 1269387588 1480952186 1904081382 2221428279 2538775176 2961904372 3808162764 4442856558 5923808744 6664284837 7616325528 8885713116 13328569674 17771426232 26657139348 53314278696