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68766684464 = 24313891621
BaseRepresentation
bin100000000001011010…
…0000101010100110000
320120111110122112000102
41000002310011110300
52111313232400324
651331352411532
74653050113352
oct1000264052460
9216443575012
1068766684464
1127189000935
12113b19a6ba8
13663ba8a04a
143484cd30d2
151bc71e3dae
hex1002d05530

68766684464 has 80 divisors (see below), whose sum is σ = 139309297920. Its totient is φ = 32880038400.

The previous prime is 68766684463. The next prime is 68766684473. The reversal of 68766684464 is 46448666786.

It is a self number, because there is not a number n which added to its sum of digits gives 68766684464.

It is not an unprimeable number, because it can be changed into a prime (68766684463) 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, 42421574 + ... + 42423194.

It is an arithmetic number, because the mean of its divisors is an integer number (1741366224).

Almost surely, 268766684464 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 68766684464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69654648960).

68766684464 is an abundant number, since it is smaller than the sum of its proper divisors (70542613456).

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

68766684464 is an equidigital number, since it uses as much as digits as its factorization.

68766684464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1743 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 65.

The spelling of 68766684464 in words is "sixty-eight billion, seven hundred sixty-six million, six hundred eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 89 124 178 248 356 496 712 961 1424 1621 1922 2759 3242 3844 5518 6484 7688 11036 12968 15376 22072 25936 29791 44144 50251 59582 85529 100502 119164 144269 171058 201004 238328 288538 342116 402008 476656 577076 684232 804016 1154152 1368464 1557781 2308304 2651399 3115562 4472339 5302798 6231124 8944678 10605596 12462248 17889356 21211192 24924496 35778712 42422384 48291211 71557424 96582422 138642509 193164844 277285018 386329688 554570036 772659376 1109140072 2218280144 4297917779 8595835558 17191671116 34383342232 68766684464