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68909400036 = 22326726532
BaseRepresentation
bin100000000101101010…
…0011111111111100100
320120212102012012222100
41000023110133333210
52112111301300121
651353451332100
74656432143631
oct1001324377744
9216772165870
1068909400036
1127251618194
1211431751030
136662508429
143499c43188
151bd49d5026
hex100b51ffe4

68909400036 has 81 divisors (see below), whose sum is σ = 177097474281. Its totient is φ = 22592316384.

The previous prime is 68909400019. The next prime is 68909400083. The reversal of 68909400036 is 63000490986.

The square root of 68909400036 is 262506.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16035156900 + 52874243136 = 126630^2 + 229944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 68909399964 and 68909400000.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 105527086 + ... + 105527738.

Almost surely, 268909400036 is an apocalyptic number.

68909400036 is the 262506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68909400036

68909400036 is an abundant number, since it is smaller than the sum of its proper divisors (108188074245).

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

68909400036 is an equidigital number, since it uses as much as digits as its factorization.

68909400036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 68909400036 in words is "sixty-eight billion, nine hundred nine million, four hundred thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 653 804 1206 1306 1959 2412 2612 3918 4489 5877 7836 8978 11754 13467 17956 23508 26934 40401 43751 53868 80802 87502 131253 161604 175004 262506 393759 426409 525012 787518 852818 1279227 1575036 1705636 2558454 2931317 3837681 5116908 5862634 7675362 8793951 11725268 15350724 17587902 26381853 28569403 35175804 52763706 57138806 85708209 105527412 114277612 171416418 257124627 342832836 514249254 1028498508 1914150001 3828300002 5742450003 7656600004 11484900006 17227350009 22969800012 34454700018 68909400036