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568342593225 = 345211215232
BaseRepresentation
bin10000100010100111101…
…10111011111011001001
32000022222202212011110000
420101103312323323021
533302431200440400
61113032030113213
756030026222311
oct10212366737311
92008882764400
10568342593225
111aa03a639300
129219494b809
13417960acb54
141d717a80441
15ebb59a5600
hex8453dbbec9

568342593225 has 135 divisors (see below), whose sum is σ = 1157933883799. Its totient is φ = 275379112800.

The previous prime is 568342593163. The next prime is 568342593241. The reversal of 568342593225 is 522395243865.

It is a happy number.

The square root of 568342593225 is 753885.

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

568342593225 is a `hidden beast` number, since 5 + 6 + 8 + 3 + 42 + 593 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 204603333561 + 363739259664 = 452331^2 + 603108^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2k-568342593225 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 373172314 + ... + 373173836.

Almost surely, 2568342593225 is an apocalyptic number.

568342593225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

568342593225 is the 753885-th square number.

568342593225 is the 376943-rd centered octagonal number.

It is an amenable number.

568342593225 is an abundant number, since it is smaller than the sum of its proper divisors (589591290574).

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

568342593225 is an equidigital number, since it uses as much as digits as its factorization.

568342593225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 1542 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 568342593225 in words is "five hundred sixty-eight billion, three hundred forty-two million, five hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 275 297 363 405 495 605 675 825 891 1089 1485 1523 1815 2025 2475 3025 3267 4455 4569 5445 7425 7615 9075 9801 13707 16335 16753 22275 22845 27225 38075 41121 49005 50259 68535 81675 83765 114225 123363 150777 184283 205605 245025 251295 342675 418825 452331 552849 616815 753885 921415 1028025 1256475 1356993 1658547 2261655 2319529 2764245 3084075 3769425 4607075 4975641 6784965 6958587 8292735 11308275 11597645 13821225 14926923 20875761 24878205 25514819 33924825 34792935 41463675 57988225 62627283 74634615 76544457 104378805 124391025 127574095 173964675 187881849 229633371 280663009 313136415 373173075 382722285 521894025 637870475 688900113 841989027 939409245 1148166855 1403315045 1565682075 1913611425 2066700339 2525967081 3444500565 4209945135 4697046225 5740834275 7016575225 7577901243 10333501695 12629835405 17222502825 21049725675 22733703729 37889506215 51667508475 63149177025 113668518645 189447531075 568342593225