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68648746254 = 231123102144293
BaseRepresentation
bin111111111011110010…
…001011110100001110
320120012020201122012120
4333323302023310032
52111043034340004
651311540513410
74650115500234
oct777362136416
9216166648176
1068648746254
1127128478140
121137a3ab866
13662050571a
143473392954
151bbbb993d9
hexffbc8bd0e

68648746254 has 64 divisors (see below), whose sum is σ = 156447825408. Its totient is φ = 19878249600.

The previous prime is 68648746249. The next prime is 68648746259. The reversal of 68648746254 is 45264784686.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68648746249) and next prime (68648746259).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68648746259) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1527732 + ... + 1572024.

It is an arithmetic number, because the mean of its divisors is an integer number (2444497272).

Almost surely, 268648746254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68648746254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78223912704).

68648746254 is an abundant number, since it is smaller than the sum of its proper divisors (87799079154).

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

68648746254 is a wasteful number, since it uses less digits than its factorization.

68648746254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45353.

The product of its digits is 61931520, while the sum is 60.

The spelling of 68648746254 in words is "sixty-eight billion, six hundred forty-eight million, seven hundred forty-six thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1021 1518 2042 3063 6126 11231 22462 23483 33693 44293 46966 67386 70449 88586 132879 140898 258313 265758 487223 516626 774939 974446 1018739 1461669 1549878 2037478 2923338 3056217 6112434 11206129 22412258 33618387 45223153 67236774 90446306 135669459 271338918 497454683 994909366 1040132519 1492364049 2080265038 2984728098 3120397557 6240795114 11441457709 22882915418 34324373127 68648746254