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51910944255625 = 547213231672
BaseRepresentation
bin10111100110110011101010…
…11001000110111010001001
320210210122012221220120012011
423303121311121012322021
523301002103212140000
6302223320352415521
713635304406532400
oct1363316531067211
9223718187816164
1051910944255625
11155a4342798034
1259a48322475a1
1322c7247985300
14cb6708756637
156004c96302ba
hex2f3675646e89

51910944255625 has 135 divisors (see below), whose sum is σ = 81735412519827. Its totient is φ = 32847541272000.

The previous prime is 51910944255623. The next prime is 51910944255647. The reversal of 51910944255625 is 52655244901915.

The square root of 51910944255625 is 7204925.

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

It can be written as a sum of positive squares in 7 ways, for example, as 51274006184569 + 636938071056 = 7160587^2 + 798084^2 .

It is not a de Polignac number, because 51910944255625 - 21 = 51910944255623 is a prime.

It is a super-2 number, since 2×519109442556252 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51910944255625.

It is not an unprimeable number, because it can be changed into a prime (51910944255623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16391202792 + ... + 16391205958.

Almost surely, 251910944255625 is an apocalyptic number.

51910944255625 is the 7204925-th square number.

51910944255625 is the 3602463-rd centered octagonal number.

It is an amenable number.

51910944255625 is a deficient number, since it is larger than the sum of its proper divisors (29824468264202).

51910944255625 is an frugal number, since it uses more digits than its factorization.

51910944255625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 58.

The spelling of 51910944255625 in words is "fifty-one trillion, nine hundred ten billion, nine hundred forty-four million, two hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 125 169 175 245 325 455 625 637 845 875 1183 1225 1625 2275 3167 3185 4225 4375 5915 6125 8125 8281 11375 15835 15925 21125 22169 29575 30625 41171 41405 56875 79175 79625 105625 110845 147875 155183 205855 207025 288197 395875 398125 535223 554225 739375 775915 1029275 1035125 1440985 1979375 2017379 2676115 2771125 3746561 3879575 5146375 5175625 7204925 10029889 10086895 13380575 13855625 18732805 19397875 25731875 26225927 36024625 50149445 50434475 66902875 70209223 93664025 96989375 130388557 131129635 180123125 250747225 252172375 334514375 351046115 468320125 491464561 651942785 655648175 912719899 1253736125 1260861875 1695051241 1755230575 2341600625 2457322805 3259713925 3278240875 4563599495 6268680625 6389039293 8475256205 8776152875 11865358687 12286614025 16298569625 16391204375 22817997475 31945196465 42376281025 43880764375 59326793435 61433070125 81492848125 83057510809 114089987375 159725982325 211881405125 296633967175 307165350625 415287554045 570449936875 798629911625 1059407025625 1483169835875 2076437770225 3993149558125 7415849179375 10382188851125 51910944255625