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68778734049 = 321924321072
BaseRepresentation
bin100000000001110001…
…0000011000111100001
320120112022022200221100
41000003202003013201
52111324323442144
651332502545013
74653254410344
oct1000342030741
9216468280840
1068778734049
1127194890973
12113b5a38169
13664141878c
14348674c45b
151bc82c4269
hex10038831e1

68778734049 has 81 divisors (see below), whose sum is σ = 108358767153. Its totient is φ = 42032453904.

The previous prime is 68778733999. The next prime is 68778734051. The reversal of 68778734049 is 94043787786.

The square root of 68778734049 is 262257.

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

It is not a de Polignac number, because 68778734049 - 221 = 68776636897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (68778734749) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 642791854 + ... + 642791960.

Almost surely, 268778734049 is an apocalyptic number.

68778734049 is the 262257-th square number.

68778734049 is the 131129-th centered octagonal number.

It is an amenable number.

68778734049 is a deficient number, since it is larger than the sum of its proper divisors (39580033104).

68778734049 is a wasteful number, since it uses less digits than its factorization.

68778734049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 68778734049 in words is "sixty-eight billion, seven hundred seventy-eight million, seven hundred thirty-four thousand, forty-nine".

Divisors: 1 3 9 19 43 57 107 129 171 321 361 387 817 963 1083 1849 2033 2451 3249 4601 5547 6099 7353 11449 13803 15523 16641 18297 34347 35131 38627 41409 46569 87419 103041 105393 115881 139707 197843 217531 262257 316179 347643 492307 593529 652593 667489 786771 1476921 1660961 1780587 1957779 2002467 3759017 4133089 4430763 4982883 6007401 9353833 11277051 12399267 14948649 21169201 28061499 33831153 37197801 63507603 71421323 84184497 177722827 190522809 214263969 402214819 533168481 642791907 1206644457 1599505443 3619933371 7642081561 22926244683 68778734049