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6985052555625 = 325413122692
BaseRepresentation
bin110010110100101010110…
…0100111000100101101001
3220201202122022201010110100
41211221111210320211221
51403420341423240000
622504515553540013
71320440054041164
oct145512544704551
926652568633410
106985052555625
112253387082131
129498bbb74609
133b88c2950ca1
141a2114db2adb
15c1a6d31ba00
hex65a55938969

6985052555625 has 135 divisors (see below), whose sum is σ = 12752248036099. Its totient is φ = 3683180280000.

The previous prime is 6985052555563. The next prime is 6985052555639. The reversal of 6985052555625 is 5265552505896.

The square root of 6985052555625 is 2642925.

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

6985052555625 is a `hidden beast` number, since 6 + 9 + 8 + 5 + 0 + 52 + 5 + 556 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 6980898495321 + 4154060304 = 2642139^2 + 64452^2 .

It is not a de Polignac number, because 6985052555625 - 225 = 6985019001193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25966737991 + ... + 25966738259.

Almost surely, 26985052555625 is an apocalyptic number.

6985052555625 is the 2642925-th square number.

6985052555625 is the 1321463-rd centered octagonal number.

It is an amenable number.

6985052555625 is a deficient number, since it is larger than the sum of its proper divisors (5767195480474).

6985052555625 is an frugal number, since it uses more digits than its factorization.

6985052555625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 162000000, while the sum is 63.

The spelling of 6985052555625 in words is "six trillion, nine hundred eighty-five billion, fifty-two million, five hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 131 225 269 375 393 625 655 807 1125 1179 1345 1875 1965 2421 3275 4035 5625 5895 6725 9825 12105 16375 17161 20175 29475 33625 35239 49125 51483 60525 72361 81875 85805 100875 105717 147375 154449 168125 176195 217083 245625 257415 302625 317151 361805 429025 504375 528585 651249 736875 772245 880975 1085415 1287075 1513125 1585755 1809025 2145125 2642925 3256245 3861225 4404875 4616309 5427075 6435375 7928775 9045125 9479291 10725625 13214625 13848927 16281225 19306125 22024375 23081545 27135375 28437873 32176875 39643875 41546781 45225625 47396455 66073125 69244635 81406125 85313619 96530625 115407725 135676875 142189365 198219375 207733905 236982275 346223175 407030625 426568095 577038625 710946825 1038669525 1184911375 1241787121 1731115875 2132840475 2885193125 3554734125 3725361363 5193347625 5924556875 6208935605 8655579375 10664202375 11176084089 17773670625 18626806815 25966738125 31044678025 53321011875 55880420445 93134034075 155223390125 279402102225 465670170375 776116950625 1397010511125 2328350851875 6985052555625