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52681266576 = 24323126172
BaseRepresentation
bin110001000100000011…
…000101010110010000
312000222110002121220100
4301010003011112100
51330342401012301
640111302212400
73543330243321
oct610403052620
9160873077810
1052681266576
1120384224344
12a262a24100
134c773c76b3
14279a888448
151584e79286
hexc440c5590

52681266576 has 135 divisors (see below), whose sum is σ = 152591053953. Its totient is φ = 16966414080.

The previous prime is 52681266569. The next prime is 52681266601. The reversal of 52681266576 is 67566218625.

The square root of 52681266576 is 229524.

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

52681266576 is a `hidden beast` number, since 5 + 2 + 6 + 8 + 1 + 2 + 66 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1525683600 + 51155582976 = 39060^2 + 226176^2 .

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, 85382620 + ... + 85383236.

Almost surely, 252681266576 is an apocalyptic number.

52681266576 is the 229524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52681266576

52681266576 is an abundant number, since it is smaller than the sum of its proper divisors (99909787377).

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

52681266576 is an equidigital number, since it uses as much as digits as its factorization.

52681266576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 653 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 52681266576 in words is "fifty-two billion, six hundred eighty-one million, two hundred sixty-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 617 744 961 1116 1234 1488 1851 1922 2232 2468 2883 3702 3844 4464 4936 5553 5766 7404 7688 8649 9872 11106 11532 14808 15376 17298 19127 22212 23064 29616 34596 38254 44424 46128 57381 69192 76508 88848 114762 138384 153016 172143 229524 306032 344286 380689 459048 592937 688572 761378 918096 1142067 1185874 1377144 1522756 1778811 2284134 2371748 2754288 3045512 3426201 3557622 4568268 4743496 5336433 6091024 6852402 7115244 9136536 9486992 10672866 11801359 13704804 14230488 18273072 21345732 23602718 27409608 28460976 35404077 42691464 47205436 54819216 70808154 85382928 94410872 106212231 141616308 188821744 212424462 283232616 365842129 424848924 566465232 731684258 849697848 1097526387 1463368516 1699395696 2195052774 2926737032 3292579161 4390105548 5853474064 6585158322 8780211096 13170316644 17560422192 26340633288 52681266576