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68224216824 = 23323761419831
BaseRepresentation
bin111111100010011110…
…101110111011111000
320112002122220022022100
4333202132232323320
52104210344414244
651201453423400
74633442163141
oct774236567370
9215078808270
1068224216824
1126a2a878975
121128019ab60
13658358618a
143432c44ac8
151b9478cb69
hexfe27aeef8

68224216824 has 96 divisors (see below), whose sum is σ = 192879217440. Its totient is φ = 21763987200.

The previous prime is 68224216741. The next prime is 68224216843. The reversal of 68224216824 is 42861242286.

It is a super-2 number, since 2×682242168242 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 68224216824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47412 + ... + 372419.

It is an arithmetic number, because the mean of its divisors is an integer number (2009158515).

Almost surely, 268224216824 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 68224216824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96439608720).

68224216824 is an abundant number, since it is smaller than the sum of its proper divisors (124655000616).

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

68224216824 is a wasteful number, since it uses less digits than its factorization.

68224216824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419941 (or 419934 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 68224216824 in words is "sixty-eight billion, two hundred twenty-four million, two hundred sixteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 61 72 74 111 122 148 183 222 244 296 333 366 444 488 549 666 732 888 1098 1332 1464 2196 2257 2664 4392 4514 6771 9028 13542 18056 20313 27084 40626 54168 81252 162504 419831 839662 1259493 1679324 2518986 3358648 3778479 5037972 7556958 10075944 15113916 15533747 25609691 30227832 31067494 46601241 51219382 62134988 76829073 93202482 102438764 124269976 139803723 153658146 186404964 204877528 230487219 279607446 307316292 372809928 460974438 559214892 614632584 921948876 947558567 1118429784 1843897752 1895117134 2842675701 3790234268 5685351402 7580468536 8528027103 11370702804 17056054206 22741405608 34112108412 68224216824