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68678332976 = 241119312412749
BaseRepresentation
bin111111111101100011…
…000011001000110000
320120021022101210120002
4333331203003020300
52111123123123401
651314515005132
74650625125011
oct777543031060
9216238353502
1068678332976
1127143146080
12113882997a8
136626694566
143477295008
151bbe590a6b
hexffd8c3230

68678332976 has 160 divisors (see below), whose sum is σ = 158442240000. Its totient is φ = 28491264000.

The previous prime is 68678332937. The next prime is 68678332979. The reversal of 68678332976 is 67923387686.

It is not an unprimeable number, because it can be changed into a prime (68678332979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24981650 + ... + 24984398.

It is an arithmetic number, because the mean of its divisors is an integer number (990264000).

Almost surely, 268678332976 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 68678332976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79221120000).

68678332976 is an abundant number, since it is smaller than the sum of its proper divisors (89763907024).

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

68678332976 is a wasteful number, since it uses less digits than its factorization.

68678332976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3053 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 65.

The spelling of 68678332976 in words is "sixty-eight billion, six hundred seventy-eight million, three hundred thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 176 209 241 248 304 341 418 482 496 589 682 836 964 1178 1364 1672 1928 2356 2651 2728 2749 3344 3856 4579 4712 5302 5456 5498 6479 7471 9158 9424 10604 10996 12958 14942 18316 21208 21992 25916 29884 30239 36632 42416 43984 50369 51832 52231 59768 60478 73264 82181 85219 100738 103664 104462 119536 120956 141949 164362 170438 201476 208924 241912 283898 328724 340876 402952 417848 483824 567796 574541 657448 662509 681752 805904 835696 937409 1135592 1149082 1314896 1325018 1363504 1561439 1619161 1874818 2271184 2298164 2650036 3122878 3238322 3749636 4596328 5300072 6245756 6476644 7287599 7499272 9192656 10600144 12491512 12587671 12953288 14575198 14998544 17810771 20537779 24983024 25175342 25906576 29150396 35621542 41075558 50350684 58300792 71243084 82151116 100701368 116601584 138464381 142486168 164302232 201402736 225915569 276928762 284972336 328604464 390217801 451831138 553857524 780435602 903662276 1107715048 1560871204 1807324552 2215430096 3121742408 3614649104 4292395811 6243484816 8584791622 17169583244 34339166488 68678332976