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68412587364 = 223411213212
BaseRepresentation
bin111111101101101101…
…010011110101100100
320112120210100112010000
4333231231103311210
52110102110243424
651232303101300
74641220253322
oct775555236544
9215523315100
1068412587364
1127017138500
12113132a1830
1365b35cb034
14344dc7ad12
151ba609b3c9
hexfedb53d64

68412587364 has 135 divisors (see below), whose sum is σ = 196729538313. Its totient is φ = 20715393600.

The previous prime is 68412587311. The next prime is 68412587371. The reversal of 68412587364 is 46378521486.

It is a happy number.

The square root of 68412587364 is 261558.

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

68412587364 is a `hidden beast` number, since 6 + 84 + 125 + 87 + 364 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63331748964 + 5080838400 = 251658^2 + 71280^2 .

It is a super-3 number, since 3×684125873643 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 68412587364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51787824 + ... + 51789144.

Almost surely, 268412587364 is an apocalyptic number.

68412587364 is the 261558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68412587364

68412587364 is an abundant number, since it is smaller than the sum of its proper divisors (128316950949).

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

68412587364 is a wasteful number, since it uses less digits than its factorization.

68412587364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680 (or 1337 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 68412587364 in words is "sixty-eight billion, four hundred twelve million, five hundred eighty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1321 1452 1782 2178 2642 3267 3564 3963 4356 5284 6534 7926 9801 11889 13068 14531 15852 19602 23778 29062 35667 39204 43593 47556 58124 71334 87186 107001 130779 142668 159841 174372 214002 261558 319682 392337 428004 479523 523116 639364 784674 959046 1177011 1438569 1569348 1745041 1918092 2354022 2877138 3490082 4315707 4708044 5235123 5754276 6980164 8631414 10470246 12947121 15705369 17262828 19195451 20940492 25894242 31410738 38390902 47116107 51788484 57586353 62821476 76781804 94232214 115172706 141348321 172759059 188464428 211149961 230345412 282696642 345518118 422299922 518277177 565393284 633449883 691036236 844599844 1036554354 1266899766 1554831531 1900349649 2073108708 2533799532 3109663062 3800699298 5701048947 6219326124 7601398596 11402097894 17103146841 22804195788 34206293682 68412587364