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10094568068025 = 325272302592
BaseRepresentation
bin1001001011100101001100…
…1001001101001110111001
31022202000211210201212020100
42102321103021031032321
52310342133411134100
633245214110550013
72061210543560400
oct222712311151671
938660753655210
1010094568068025
11324209a567241
12117048a508309
13582bb549761c
1426c8189b4637
151278b2356400
hex92e5324d3b9

10094568068025 has 81 divisors (see below), whose sum is σ = 21033105360111. Its totient is φ = 4614507182880.

The previous prime is 10094568068023. The next prime is 10094568068041. The reversal of 10094568068025 is 52086086549001.

The square root of 10094568068025 is 3177195.

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

10094568068025 is a `hidden beast` number, since 10 + 0 + 9 + 4 + 568 + 0 + 68 + 0 + 2 + 5 = 666.

10094568068025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3634044504489 + 6460523563536 = 1906317^2 + 2541756^2 .

It is not a de Polignac number, because 10094568068025 - 21 = 10094568068023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10094568068023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 333590346 + ... + 333620604.

Almost surely, 210094568068025 is an apocalyptic number.

10094568068025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10094568068025 is the 3177195-th square number.

10094568068025 is the 1588598-th centered octagonal number.

It is an amenable number.

10094568068025 is an abundant number, since it is smaller than the sum of its proper divisors (10938537292086).

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

10094568068025 is an frugal number, since it uses more digits than its factorization.

10094568068025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60548 (or 30274 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 10094568068025 in words is "ten trillion, ninety-four billion, five hundred sixty-eight million, sixty-eight thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 30259 90777 151295 211813 272331 453885 635439 756475 1059065 1361655 1482691 1906317 2269425 3177195 4448073 5295325 6808275 7413455 9531585 13344219 15885975 22240365 37067275 47657925 66721095 111201825 333605475 915607081 2746821243 4578035405 6409249567 8240463729 13734106215 19227748701 22890177025 32046247835 41202318645 44864746969 57683246103 68670531075 96138743505 134594240907 160231239175 206011593225 224323734845 288416230515 403782722721 480693717525 672971204535 1121618674225 1442081152575 2018913613605 3364856022675 10094568068025