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25205030535234 = 231119307349187597
BaseRepresentation
bin1011011101100100000001…
…11001000100000001000010
310022020120120220200222121010
411232302000321010001002
511300424400304111414
6125335010422341350
75211001103413404
oct556620071040102
9108216526628533
1025205030535234
118038436709330
1229b0aa188a856
13110aa93957524
14631d03c54b74
152da9924b5959
hex16ec80e44042

25205030535234 has 128 divisors (see below), whose sum is σ = 58242425472000. Its totient is φ = 7191620225280.

The previous prime is 25205030535233. The next prime is 25205030535277. The reversal of 25205030535234 is 43253503050252.

It is a junction number, because it is equal to n+sod(n) for n = 25205030535192 and 25205030535201.

It is not an unprimeable number, because it can be changed into a prime (25205030535233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134263524 + ... + 134451120.

It is an arithmetic number, because the mean of its divisors is an integer number (455018949000).

Almost surely, 225205030535234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25205030535234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29121212736000).

25205030535234 is an abundant number, since it is smaller than the sum of its proper divisors (33037394936766).

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

25205030535234 is a wasteful number, since it uses less digits than its factorization.

25205030535234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188288.

The product of its (nonzero) digits is 540000, while the sum is 39.

Adding to 25205030535234 its reverse (43253503050252), we get a palindrome (68458533585486).

The spelling of 25205030535234 in words is "twenty-five trillion, two hundred five billion, thirty million, five hundred thirty-five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 307 349 418 614 627 698 921 1047 1254 1842 2094 3377 3839 5833 6631 6754 7678 10131 11517 11666 13262 17499 19893 20262 23034 34998 39786 64163 72941 107143 128326 145882 187597 192489 214286 218823 321429 375194 384978 437646 562791 642858 1125582 1178573 2035717 2063567 2357146 3535719 3564343 4071434 4127134 6107151 6190701 7071438 7128686 10693029 12214302 12381402 21386058 22392887 39207773 44785774 57592279 65471353 67178661 78415546 115184558 117623319 130942706 134357322 172776837 196414059 235246638 345553674 392828118 633515069 720184883 1094253301 1243955707 1267030138 1440369766 1900545207 2160554649 2188506602 2487911414 3282759903 3731867121 3801090414 4321109298 6565519806 7463734242 12036786311 13683512777 20099705371 24073572622 27367025554 36110358933 40199410742 41050538331 60299116113 72220717866 82101076662 120598232226 221096759081 381894402049 442193518162 663290277243 763788804098 1145683206147 1326580554486 2291366412294 4200838422539 8401676845078 12602515267617 25205030535234