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90525864780395 = 5111723101127328177
BaseRepresentation
bin10100100101010100110010…
…000000110110001001101011
3102212112012002011102222012022
4110211110302000312021223
543331133432340433040
6520311001432535055
725032164214406322
oct2445246200661153
9385465064388168
1090525864780395
1126931892733a20
12a1a0628b5148b
133b68724886695
14184d69207d0b9
15a6ebbb0536b5
hex52553203626b

90525864780395 has 128 divisors (see below), whose sum is σ = 133271058972672. Its totient is φ = 58221047808000.

The previous prime is 90525864780383. The next prime is 90525864780397. The reversal of 90525864780395 is 59308746852509.

It is not a de Polignac number, because 90525864780395 - 214 = 90525864764011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90525864780397) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 275680547 + ... + 276008723.

It is an arithmetic number, because the mean of its divisors is an integer number (1041180148224).

Almost surely, 290525864780395 is an apocalyptic number.

90525864780395 is a deficient number, since it is larger than the sum of its proper divisors (42745194192277).

90525864780395 is a wasteful number, since it uses less digits than its factorization.

90525864780395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328461.

The product of its (nonzero) digits is 653184000, while the sum is 71.

The spelling of 90525864780395 in words is "ninety trillion, five hundred twenty-five billion, eight hundred sixty-four million, seven hundred eighty thousand, three hundred ninety-five".

Divisors: 1 5 11 17 23 55 85 101 115 127 187 253 391 505 635 935 1111 1265 1397 1717 1955 2159 2323 2921 4301 5555 6985 8585 10795 11615 12827 14605 18887 21505 23749 25553 32131 39491 49657 64135 94435 118745 127765 141097 160655 197455 218059 248285 295021 328177 434401 546227 705485 1090295 1475105 1640885 2172005 2398649 2731135 3245231 3609947 5015357 5579009 7548071 11993245 16226155 18049735 25076785 27895045 33145877 37740355 41678479 55168927 61369099 83028781 128317207 165729385 208392395 275844635 306845495 364604647 415143905 458463269 563479909 641586035 708534143 762355171 958605017 1411489277 1823023235 2292316345 2817399545 3542670715 3811775855 4209526379 4793025085 6198278999 7057446385 7793875573 8385906881 10544655187 12960037907 16296285289 21047631895 30991394995 38969377865 41929534405 46304790169 52723275935 64800189535 71561948443 81481426445 96819106717 142560416977 179259138179 231523950845 357809742215 484095533585 712802084885 787181432873 896295690895 1065010173887 1645924814189 3935907164365 5325050869435 8229624070945 18105172956079 90525864780395