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10004352525 = 355217731327
BaseRepresentation
bin10010101000100111…
…00100111000001101
3221211012221202200000
421110103210320031
5130442103240100
64332415554513
7502626410346
oct112423447015
927735852600
1010004352525
114274218142
121b3252ba39
13c3588262b
146ac9770cd
153d846c900
hex2544e4e0d

10004352525 has 144 divisors (see below), whose sum is σ = 19960222464. Its totient is φ = 4949268480.

The previous prime is 10004352521. The next prime is 10004352569. The reversal of 10004352525 is 52525340001.

It is a happy number.

10004352525 is a `hidden beast` number, since 100 + 0 + 4 + 35 + 2 + 525 = 666.

It is not a de Polignac number, because 10004352525 - 22 = 10004352521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004352521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7538412 + ... + 7539738.

It is an arithmetic number, because the mean of its divisors is an integer number (138612656).

Almost surely, 210004352525 is an apocalyptic number.

10004352525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10004352525 is a deficient number, since it is larger than the sum of its proper divisors (9955869939).

10004352525 is a wasteful number, since it uses less digits than its factorization.

10004352525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 10004352525 its reverse (52525340001), we get a palindrome (62529692526).

The spelling of 10004352525 in words is "ten billion, four million, three hundred fifty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 73 75 81 85 135 153 219 225 243 255 365 405 425 459 657 675 765 1095 1215 1241 1275 1327 1377 1825 1971 2025 2295 3285 3723 3825 3981 4131 5475 5913 6075 6205 6635 6885 9855 11169 11475 11943 16425 17739 18615 19905 20655 22559 29565 31025 33175 33507 34425 35829 49275 55845 59715 67677 88695 93075 96871 99525 100521 103275 107487 112795 147825 167535 179145 203031 279225 290613 298575 301563 322461 338385 443475 484355 502605 537435 563975 609093 837675 871839 895725 1015155 1453065 1507815 1612305 1646807 1691925 1827279 2421775 2513025 2615517 2687175 3045465 4359195 4940421 5075775 5481837 7265325 7539075 7846551 8061525 8234035 9136395 13077585 14821263 15227325 21795975 23539653 24702105 27409185 39232755 41170175 44463789 45681975 65387925 74106315 117698265 123510525 133391367 137045925 196163775 222318945 370531575 400174101 588491325 666956835 1111594725 2000870505 3334784175 10004352525