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68252780772 = 223211643268049
BaseRepresentation
bin111111100100001011…
…101100100011100100
320112011122122111200100
4333210023230203210
52104240202441042
651204353544100
74634240031021
oct774413544344
9215148574610
1068252780772
1126a44a08440
1211289875030
136589477617
14343695c548
151b9703124c
hexfe42ec8e4

68252780772 has 72 divisors (see below), whose sum is σ = 188505626400. Its totient is φ = 20650417920.

The previous prime is 68252780737. The next prime is 68252780773. The reversal of 68252780772 is 27708725286.

It is a super-2 number, since 2×682527807722 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (68252780773) 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 23 ways as a sum of consecutive naturals, for example, 120604 + ... + 388652.

It is an arithmetic number, because the mean of its divisors is an integer number (2618133700).

Almost surely, 268252780772 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 68252780772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94252813200).

68252780772 is an abundant number, since it is smaller than the sum of its proper divisors (120252845628).

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

68252780772 is a wasteful number, since it uses less digits than its factorization.

68252780772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268713 (or 268708 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 68252780772 in words is "sixty-eight billion, two hundred fifty-two million, seven hundred eighty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 643 1286 1929 2572 3858 5787 7073 7716 11574 14146 21219 23148 28292 42438 63657 84876 127314 254628 268049 536098 804147 1072196 1608294 2412441 2948539 3216588 4824882 5897078 8845617 9649764 11794156 17691234 26536851 35382468 53073702 106147404 172355507 344711014 517066521 689422028 1034133042 1551199563 1895910577 2068266084 3102399126 3791821154 5687731731 6204798252 7583642308 11375463462 17063195193 22750926924 34126390386 68252780772