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68210830416 = 24310315787877
BaseRepresentation
bin111111100001101011…
…101010110001010000
320112001201201012121110
4333201223222301100
52104143433033131
651200254453320
74633220330541
oct774153526120
9215051635543
1068210830416
1126a23265523
1211277804240
13658087a121
14343115c4c8
151b934e6646
hexfe1aeac50

68210830416 has 80 divisors (see below), whose sum is σ = 179057400704. Its totient is φ = 22372526592.

The previous prime is 68210830411. The next prime is 68210830421. The reversal of 68210830416 is 61403801286.

It is an interprime number because it is at equal distance from previous prime (68210830411) and next prime (68210830421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68210830411) 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 15 ways as a sum of consecutive naturals, for example, 732270 + ... + 820146.

Almost surely, 268210830416 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 68210830416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89528700352).

68210830416 is an abundant number, since it is smaller than the sum of its proper divisors (110846570288).

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

68210830416 is a wasteful number, since it uses less digits than its factorization.

68210830416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88148 (or 88142 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 68210830416 in words is "sixty-eight billion, two hundred ten million, eight hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 157 206 309 314 412 471 618 628 824 942 1236 1256 1648 1884 2472 2512 3768 4944 7536 16171 32342 48513 64684 87877 97026 129368 175754 194052 258736 263631 351508 388104 527262 703016 776208 1054524 1406032 2109048 4218096 9051331 13796689 18102662 27153993 27593378 36205324 41390067 54307986 55186756 72410648 82780134 108615972 110373512 144821296 165560268 217231944 220747024 331120536 434463888 662241072 1421058967 2842117934 4263176901 5684235868 8526353802 11368471736 17052707604 22736943472 34105415208 68210830416