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52458600685425 = 35211237941166027
BaseRepresentation
bin10111110110101111110000…
…10000100101111101110001
320212201222211002002202010020
423323113320100211331301
523333440203233413200
6303323052022354053
714023003012425444
oct1373277020457561
9225658732082106
1052458600685425
1115795627548600
125a729b328b929
132336a9518406c
14cd501cd3965b
1560e87decbea0
hex2fb5f8425f71

52458600685425 has 144 divisors (see below), whose sum is σ = 98014236645696. Its totient is φ = 24720607296000.

The previous prime is 52458600685391. The next prime is 52458600685483.

52458600685425 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52458600685425 - 27 = 52458600685297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315881262 + ... + 316047288.

Almost surely, 252458600685425 is an apocalyptic number.

52458600685425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52458600685425 is a deficient number, since it is larger than the sum of its proper divisors (45555635960271).

52458600685425 is a wasteful number, since it uses less digits than its factorization.

52458600685425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167040 (or 167024 counting only the distinct ones).

The product of its (nonzero) digits is 92160000, while the sum is 60.

The spelling of 52458600685425 in words is "fifty-two trillion, four hundred fifty-eight billion, six hundred million, six hundred eighty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 37 55 75 111 121 165 185 275 363 407 555 605 825 925 941 1221 1815 2035 2775 2823 3025 4477 4705 6105 9075 10175 10351 13431 14115 22385 23525 30525 31053 34817 51755 67155 70575 104451 111925 113861 155265 166027 174085 258775 335775 341583 382987 498081 522255 569305 776325 830135 870425 1148961 1707915 1826297 1914935 2490405 2611275 2846525 4150675 4212857 5478891 5744805 6142999 8539575 9131485 9574675 12452025 12638571 18428997 20089267 21064285 27394455 28724025 30714995 45657425 60267801 63192855 67572989 92144985 100446335 105321425 136972275 153574975 156231407 202718967 301339005 315964275 337864945 460724925 468694221 502231675 743302879 781157035 1013594835 1506695025 1689324725 1718545477 2229908637 2343471105 3716514395 3905785175 5067974175 5155636431 5780562059 8592727385 11149543185 11717355525 17341686177 18582571975 18904000247 25778182155 28902810295 42963636925 55747715925 56712000741 63586182649 86708430885 94520001235 128890910775 144514051475 190758547947 283560003705 317930913245 433542154425 472600006175 699448009139 953792739735 1417800018525 1589654566225 2098344027417 3497240045695 4768963698675 10491720137085 17486200228475 52458600685425