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60512064064 = 269723172
BaseRepresentation
bin111000010110110011…
…001101001001000000
312210012012010100120221
4320112303031021000
51442412042022224
643444315312424
74241355025564
oct702663151100
9183165110527
1060512064064
1123732534401
12b88944b714
13592487748a
142d008a96a4
1518926a06e4
hexe16ccd240

60512064064 has 63 divisors (see below), whose sum is σ = 121713262923. Its totient is φ = 29849653248.

The previous prime is 60512064023. The next prime is 60512064083. The reversal of 60512064064 is 46046021506.

The square root of 60512064064 is 245992.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19156774464 + 41355289600 = 138408^2 + 203360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 190889634 + ... + 190889950.

Almost surely, 260512064064 is an apocalyptic number.

60512064064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

60512064064 is the 245992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60512064064

60512064064 is an abundant number, since it is smaller than the sum of its proper divisors (61201198859).

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

60512064064 is an frugal number, since it uses more digits than its factorization.

60512064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 60512064064 in words is "sixty billion, five hundred twelve million, sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 97 194 317 388 634 776 1268 1552 2536 3104 5072 6208 9409 10144 18818 20288 30749 37636 61498 75272 100489 122996 150544 200978 245992 301088 401956 491984 602176 803912 983968 1607824 1967936 2982653 3215648 5965306 6431296 9747433 11930612 19494866 23861224 38989732 47722448 77979464 95444896 155958928 190889792 311917856 623835712 945501001 1891002002 3782004004 7564008008 15128016016 30256032032 60512064064