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51083677531425 = 35271141215747767
BaseRepresentation
bin10111001110101110110000…
…11100111111110100100001
320200212112220022121201100110
423213113120130333310201
523143423332422001200
6300351303435441533
713521450102435540
oct1347273034776441
9220775808551313
1051083677531425
1115305514243930
1258904382b62a9
1322672299ab306
14c8866ad9c157
155d8c0c66db50
hex2e75d873fd21

51083677531425 has 96 divisors (see below), whose sum is σ = 107866980071424. Its totient is φ = 20711785536000.

The previous prime is 51083677531391. The next prime is 51083677531429. The reversal of 51083677531425 is 52413577638015.

It is a happy number.

It is not a de Polignac number, because 51083677531425 - 27 = 51083677531297 is a prime.

It is a super-2 number, since 2×510836775314252 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51083677531429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107637109 + ... + 108110658.

It is an arithmetic number, because the mean of its divisors is an integer number (1123614375744).

Almost surely, 251083677531425 is an apocalyptic number.

51083677531425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51083677531425 is an abundant number, since it is smaller than the sum of its proper divisors (56783302539999).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51083677531425 is a wasteful number, since it uses less digits than its factorization.

51083677531425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215747839 (or 215747834 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 51083677531425 in words is "fifty-one trillion, eighty-three billion, six hundred seventy-seven million, five hundred thirty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 41 55 75 77 105 123 165 175 205 231 275 287 385 451 525 615 825 861 1025 1155 1353 1435 1925 2255 3075 3157 4305 5775 6765 7175 9471 11275 15785 21525 33825 47355 78925 236775 215747767 647243301 1078738835 1510234369 2373225437 3236216505 4530703107 5393694175 7119676311 7551171845 8845658447 11866127185 16181082525 16612578059 22653515535 26536975341 35598381555 37755859225 44228292235 49837734177 59330635925 61919609129 83062890295 97302242917 113267577675 132684876705 177991907775 185758827387 221141461175 249188670885 291906728751 309598045645 415314451475 486511214585 663424383525 681115700419 928794136935 1245943354425 1459533643755 1547990228225 2043347101257 2432556072925 3405578502095 4643970684675 7297668218775 10216735506285 17027892510475 51083677531425