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61257555308064 = 25328311311199343
BaseRepresentation
bin11011110110110101000101…
…10100101110111000100000
322000220011110100120012211010
431323122202310232320200
531012120433124324224
6334141155445020520
715621466216613433
oct1573324264567040
9260804410505733
1061257555308064
1118578201a98aa5
126a5415b3b4740
13282474128a3ab
14111ac4ab7d81a
157136b258ce29
hex37b6a2d2ee20

61257555308064 has 96 divisors (see below), whose sum is σ = 161384360546304. Its totient is φ = 20345131572480.

The previous prime is 61257555308063. The next prime is 61257555308129. The reversal of 61257555308064 is 46080355575216.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 61257555307995 and 61257555308013.

It is not an unprimeable number, because it can be changed into a prime (61257555308063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307197577 + ... + 307396919.

It is an arithmetic number, because the mean of its divisors is an integer number (1681087089024).

Almost surely, 261257555308064 is an apocalyptic number.

It is an amenable number.

61257555308064 is an abundant number, since it is smaller than the sum of its proper divisors (100126805238240).

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

61257555308064 is a wasteful number, since it uses less digits than its factorization.

61257555308064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210950 (or 210942 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 57.

The spelling of 61257555308064 in words is "sixty-one trillion, two hundred fifty-seven billion, five hundred fifty-five million, three hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 283 566 849 1132 1698 2264 3396 4528 6792 9056 11311 13584 22622 27168 33933 45244 67866 90488 135732 180976 199343 271464 361952 398686 542928 598029 797372 1085856 1196058 1594744 2392116 3189488 3201013 4784232 6378976 6402026 9568464 9603039 12804052 19136928 19206078 25608104 38412156 51216208 56414069 76824312 102432416 112828138 153648624 169242207 225656276 307297248 338484414 451312552 676968828 902625104 1353937656 1805250208 2254768673 2707875312 4509537346 5415750624 6764306019 9019074692 13528612038 18038149384 27057224076 36076298768 54114448152 72152597536 108228896304 216457792608 638099534459 1276199068918 1914298603377 2552398137836 3828597206754 5104796275672 7657194413508 10209592551344 15314388827016 20419185102688 30628777654032 61257555308064