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5686674855625 = 541723121812
BaseRepresentation
bin101001011000000100000…
…1111000001011011001001
3202010122022011000001110101
41102300020033001123021
51221132302230340000
620032231121445401
71124564050505221
oct122601017013311
922118264001411
105686674855625
1118a2783782a45
1277a147aa0861
1332333599989a
14159345085081
159cdcba4ce6a
hex52c083c16c9

5686674855625 has 135 divisors (see below), whose sum is σ = 7843353771033. Its totient is φ = 4120718400000.

The previous prime is 5686674855601. The next prime is 5686674855649. The reversal of 5686674855625 is 5265584766865.

The square root of 5686674855625 is 2384675.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5686674855601) and next prime (5686674855649).

It can be written as a sum of positive squares in 22 ways, for example, as 3501587790009 + 2185087065616 = 1871253^2 + 1478204^2 .

It is not a de Polignac number, because 5686674855625 - 219 = 5686674331337 is a prime.

It is a super-2 number, since 2×56866748556252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 31418093035 + ... + 31418093215.

Almost surely, 25686674855625 is an apocalyptic number.

5686674855625 is the 2384675-th square number.

5686674855625 is the 1192338-th centered octagonal number.

It is an amenable number.

5686674855625 is a deficient number, since it is larger than the sum of its proper divisors (2156678915408).

5686674855625 is an frugal number, since it uses more digits than its factorization.

5686674855625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 234 counting only the distinct ones).

The product of its digits is 2903040000, while the sum is 73.

The spelling of 5686674855625 in words is "five trillion, six hundred eighty-six billion, six hundred seventy-four million, eight hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 17 25 31 85 125 155 181 289 425 527 625 775 905 961 1445 2125 2635 3077 3875 4525 4805 5611 7225 8959 10625 13175 15385 16337 19375 22625 24025 28055 32761 36125 44795 52309 65875 76925 81685 95387 113125 120125 140275 163805 173941 180625 223975 261545 277729 329375 384625 408425 476935 556937 600625 701375 819025 869705 1015591 1119875 1307725 1388645 1621579 1923125 2042125 2384675 2784685 2956997 3506875 4095125 4348525 5077955 5599375 6538625 6943225 8107895 9467929 10210625 11923375 13923425 14784985 17265047 20475625 21742625 25389775 31483321 32693125 34716125 40539475 47339645 50268949 59616875 69617125 73924925 86325235 108713125 126948875 157416605 173580625 202697375 236698225 251344745 293505799 348085625 369624625 431626175 535216457 634744375 787083025 1013486875 1183491125 1256723725 1467528995 1848123125 2158130875 2676082285 3935415125 5917455625 6283618625 7337644975 9098679769 10790654375 13380411425 19677075625 31418093125 36688224875 45493398845 66902057125 183441124375 227466994225 334510285625 1137334971125 5686674855625