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75135752552025 = 33521133130571883
BaseRepresentation
bin10001000101010111100111…
…110101110011111001011001
3100212000220111210010001201000
4101011113213311303321121
534322011010123131100
6423444515504215213
721553243664035224
oct2105274765637131
9325026453101630
1075135752552025
1121a38991592240
12851598b60a509
1332c036a6b0619
14147a8386b25bb
158a46c00d5900
hex4455e7d73e59

75135752552025 has 96 divisors (see below), whose sum is σ = 151029998461440. Its totient is φ = 36319395816000.

The previous prime is 75135752551967. The next prime is 75135752552039. The reversal of 75135752552025 is 52025525753157.

75135752552025 is a `hidden beast` number, since 7 + 5 + 1 + 3 + 5 + 75 + 25 + 520 + 25 = 666.

It is not a de Polignac number, because 75135752552025 - 236 = 75067033075289 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12828267 + ... + 17743616.

It is an arithmetic number, because the mean of its divisors is an integer number (1573229150640).

Almost surely, 275135752552025 is an apocalyptic number.

75135752552025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75135752552025 is an abundant number, since it is smaller than the sum of its proper divisors (75894245909415).

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

75135752552025 is a wasteful number, since it uses less digits than its factorization.

75135752552025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30572244 (or 30572233 counting only the distinct ones).

The product of its (nonzero) digits is 18375000, while the sum is 54.

The spelling of 75135752552025 in words is "seventy-five trillion, one hundred thirty-five billion, seven hundred fifty-two million, five hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 331 495 675 825 993 1485 1655 2475 2979 3641 4965 7425 8275 8937 10923 14895 18205 24825 32769 44685 54615 74475 91025 98307 163845 223425 273075 491535 819225 2457675 30571883 91715649 152859415 275146947 336290713 458578245 764297075 825440841 1008872139 1375734735 1681453565 2292891225 3026616417 4127204205 5044360695 6878673675 8407267825 9079849251 10119293273 15133082085 20636021025 25221803475 30357879819 45399246255 50596466365 75665410425 91073639457 111312226003 151789399095 226996231275 252982331825 273220918371 333936678009 455368197285 556561130015 758946995475 1001810034027 1366104591855 1669683390045 2276840986425 2782805650075 3005430102081 5009050170135 6830522959275 8348416950225 15027150510405 25045250850675 75135752552025