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2693029568 = 26174173827
BaseRepresentation
bin1010000010000100…
…0101111011000000
320221200102002001212
42200201011323000
521003403421233
61123120545252
7123510242105
oct24041057300
96850362055
102693029568
111162165a79
12631a82228
1333bc15b28
141b793aaac
1510b659a48
hexa0845ec0

2693029568 has 112 divisors (see below), whose sum is σ = 5882847264. Its totient is φ = 1217986560.

The previous prime is 2693029567. The next prime is 2693029579. The reversal of 2693029568 is 8659203962.

It is not an unprimeable number, because it can be changed into a prime (2693029561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3255971 + ... + 3256797.

It is an arithmetic number, because the mean of its divisors is an integer number (52525422).

Almost surely, 22693029568 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 2693029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941423632).

2693029568 is an abundant number, since it is smaller than the sum of its proper divisors (3189817696).

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

2693029568 is a wasteful number, since it uses less digits than its factorization.

2693029568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The square root of 2693029568 is about 51894.4078682858. The cubic root of 2693029568 is about 1391.2773255884.

The spelling of 2693029568 in words is "two billion, six hundred ninety-three million, twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 73 82 136 146 164 272 292 328 544 584 656 697 827 1088 1168 1241 1312 1394 1654 2336 2482 2624 2788 2993 3308 4672 4964 5576 5986 6616 9928 11152 11972 13232 14059 19856 22304 23944 26464 28118 33907 39712 44608 47888 50881 52928 56236 60371 67814 79424 95776 101762 112472 120742 135628 191552 203524 224944 241484 271256 407048 449888 482968 542512 576419 814096 899776 965936 1026307 1085024 1152838 1628192 1931872 2052614 2170048 2305676 2475211 3256384 3863744 4105228 4611352 4950422 8210456 9222704 9900844 16420912 18445408 19801688 32841824 36890816 39603376 42078587 65683648 79206752 84157174 158413504 168314348 336628696 673257392 1346514784 2693029568