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5086161804825 = 32522310723513907
BaseRepresentation
bin100101000000011011011…
…0111100001111000011001
3200000020021100202022120200
41022000312313201320121
51131312424410223300
614452314523012413
71033314555006243
oct112006667417031
920006240668520
105086161804825
111691035819822
126a189536a109
132ab813967c2a
14138258a0d093
158c481b3a200
hex4a036de1e19

5086161804825 has 144 divisors (see below), whose sum is σ = 9601341474816. Its totient is φ = 2568679344000.

The previous prime is 5086161804781. The next prime is 5086161804883. The reversal of 5086161804825 is 5284081616805.

5086161804825 is a `hidden beast` number, since 5 + 0 + 8 + 616 + 18 + 0 + 4 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 5086161804825 - 216 = 5086161739289 is a prime.

It is a super-3 number, since 3×50861618048253 (a number of 39 digits) contains 333 as substring.

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, 1301805522 + ... + 1301809428.

It is an arithmetic number, because the mean of its divisors is an integer number (66675982464).

Almost surely, 25086161804825 is an apocalyptic number.

It is an amenable number.

5086161804825 is a deficient number, since it is larger than the sum of its proper divisors (4515179669991).

5086161804825 is a wasteful number, since it uses less digits than its factorization.

5086161804825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

It can be divided in two parts, 508616 and 1804825, that added together give a 4-th power (2313441 = 394).

The spelling of 5086161804825 in words is "five trillion, eighty-six billion, one hundred sixty-one million, eight hundred four thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 107 115 207 225 321 345 535 575 963 1035 1605 1725 2351 2461 2675 3907 4815 5175 7053 7383 8025 11721 11755 12305 19535 21159 22149 24075 35163 35265 36915 54073 58605 58775 61525 89861 97675 105795 110745 162219 175815 176325 184575 251557 269583 270365 293025 418049 449305 486657 528975 553725 754671 808749 811095 879075 1254147 1257785 1347915 1351825 2090245 2246525 2264013 2433285 3762441 3773355 4043745 4055475 5785811 6270735 6288925 6739575 9185357 9615127 10451225 11320065 12166425 17357433 18812205 18866775 20218725 27556071 28845381 28929055 31353675 45926785 48075635 52072299 56600325 82668213 86536143 86787165 94061025 137780355 144226905 144645275 211263211 229633925 240378175 260361495 413341065 432680715 433935825 633789633 688901775 721134525 982833199 1056316055 1301807475 1901368899 2066705325 2163403575 2948499597 3168948165 4914165995 5281580275 8845498791 9506844495 14742497985 15844740825 22605163577 24570829975 44227493955 47534222475 67815490731 73712489925 113025817885 203446472193 221137469775 339077453655 565129089425 1017232360965 1695387268275 5086161804825