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60066793472 = 211721135297
BaseRepresentation
bin110111111100010000…
…101000100000000000
312202001011021021011112
4313330100220200000
51441004044342342
643332211502452
74224340214600
oct677420504000
9182034237145
1060066793472
1123524158a84
12b7842b7a28
13588354535a
142c9b6bcc00
151868548682
hexdfc428800

60066793472 has 144 divisors (see below), whose sum is σ = 140976124380. Its totient is φ = 25510281216.

The previous prime is 60066793459. The next prime is 60066793519. The reversal of 60066793472 is 27439766006.

It can be written as a sum of positive squares in 2 ways, for example, as 58633716736 + 1433076736 = 242144^2 + 37856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 60066793472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11337128 + ... + 11342424.

Almost surely, 260066793472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60066793472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70488062190).

60066793472 is an abundant number, since it is smaller than the sum of its proper divisors (80909330908).

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

60066793472 is a wasteful number, since it uses less digits than its factorization.

60066793472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 50.

The spelling of 60066793472 in words is "sixty billion, sixty-six million, seven hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 128 196 224 226 256 392 448 452 512 784 791 896 904 1024 1568 1582 1792 1808 2048 3136 3164 3584 3616 5297 5537 6272 6328 7168 7232 10594 11074 12544 12656 14336 14464 21188 22148 25088 25312 28928 37079 42376 44296 50176 50624 57856 74158 84752 88592 100352 101248 115712 148316 169504 177184 202496 231424 259553 296632 339008 354368 404992 519106 593264 598561 678016 708736 809984 1038212 1186528 1197122 1356032 1417472 1619968 2076424 2373056 2394244 2712064 2834944 4152848 4189927 4746112 4788488 5424128 5669888 8305696 8379854 9492224 9576976 10848256 11339776 16611392 16759708 18984448 19153952 29329489 33222784 33519416 37968896 38307904 58658978 66445568 67038832 75937792 76615808 117317956 132891136 134077664 153231616 234635912 265782272 268155328 306463232 469271824 531564544 536310656 612926464 938543648 1072621312 1225852928 1877087296 2145242624 3754174592 4290485248 7508349184 8580970496 15016698368 30033396736 60066793472