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68633661696 = 283197516263
BaseRepresentation
bin111111111010111000…
…101001000100000000
320120011012100021002020
4333322320221010000
52111030204133241
651310241321440
74646543333025
oct777270510400
9216135307066
1068633661696
112711aa04966
1211375336280
13661a353752
14347138754c
151bba6b9b66
hexffae29100

68633661696 has 144 divisors (see below), whose sum is σ = 192566384640. Its totient is φ = 21641472000.

The previous prime is 68633661683. The next prime is 68633661703. The reversal of 68633661696 is 69616633686.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10955461 + ... + 10961723.

It is an arithmetic number, because the mean of its divisors is an integer number (1337266560).

Almost surely, 268633661696 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 68633661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96283192320).

68633661696 is an abundant number, since it is smaller than the sum of its proper divisors (123932722944).

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

68633661696 is a wasteful number, since it uses less digits than its factorization.

68633661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7038 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 60.

The spelling of 68633661696 in words is "sixty-eight billion, six hundred thirty-three million, six hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 751 768 912 1216 1502 1824 2253 2432 3004 3648 4506 4864 6008 6263 7296 9012 12016 12526 14269 14592 18024 18789 24032 25052 28538 36048 37578 42807 48064 50104 57076 72096 75156 85614 96128 100208 114152 118997 144192 150312 171228 192256 200416 228304 237994 288384 300624 342456 356991 400832 456608 475988 576768 601248 684912 713982 801664 913216 951976 1202496 1369824 1427964 1603328 1826432 1903952 2404992 2739648 2855928 3652864 3807904 4703513 4809984 5479296 5711856 7615808 9407026 10958592 11423712 14110539 15231616 18814052 22847424 28221078 30463232 37628104 45694848 56442156 75256208 89366747 91389696 112884312 150512416 178733494 225768624 268100241 301024832 357466988 451537248 536200482 602049664 714933976 903074496 1072400964 1204099328 1429867952 1806148992 2144801928 2859735904 3612297984 4289603856 5719471808 8579207712 11438943616 17158415424 22877887232 34316830848 68633661696