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242071675043625 = 3253736527841549
BaseRepresentation
bin110111000010100110110100…
…001100110111111100101001
31011202002211022020122101121100
4313002212310030313330221
5223212100242302344000
62214502105311432013
7101663046525610230
oct6702466414677451
91152084266571540
10242071675043625
117014a025848349
1223197142225609
13a50c35158450b
1443ac48dc31b17
151cebc8e46da00
hexdc29b4337f29

242071675043625 has 96 divisors (see below), whose sum is σ = 498728005401600. Its totient is φ = 110658176092800.

The previous prime is 242071675043593. The next prime is 242071675043629. The reversal of 242071675043625 is 526340576170242.

242071675043625 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 7 + 1 + 6 + 7 + 5 + 0 + 4 + 3 + 625 = 666.

It is not a de Polignac number, because 242071675043625 - 25 = 242071675043593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242071675043629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287229351 + ... + 288070899.

It is an arithmetic number, because the mean of its divisors is an integer number (5195083389600).

Almost surely, 2242071675043625 is an apocalyptic number.

242071675043625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242071675043625 is an abundant number, since it is smaller than the sum of its proper divisors (256656330357975).

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

242071675043625 is a wasteful number, since it uses less digits than its factorization.

242071675043625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878104 (or 878091 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 242071675043625 in words is "two hundred forty-two trillion, seventy-one billion, six hundred seventy-five million, forty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1575 2625 7875 36527 109581 182635 255689 328743 547905 767067 841549 913175 1278445 1643715 2301201 2524647 2739525 3835335 4207745 4565875 5890843 6392225 7573941 8218575 11506005 12623235 13697625 17672529 19176675 21038725 29454215 31961125 37869705 41092875 53017587 57530025 63116175 88362645 95883375 105193625 147271075 189348525 265087935 287650125 315580875 441813225 736355375 946742625 1325439675 2209066125 6627198375 30739260323 92217780969 153696301615 215174822261 276653342907 461088904845 645524466783 768481508075 1075874111305 1383266714535 1936573400349 2305444524225 3227622333915 3842407540375 5379370556525 6916333572675 9682867001745 11527222621125 16138111669575 26896852782625 34581667863375 48414335008725 80690558347875 242071675043625