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68326899696 = 243211212920261
BaseRepresentation
bin111111101000100110…
…011011111111110000
320112100211010010201200
4333220212123333300
52104413141242241
651220002331200
74636130031126
oct775046337760
9215324103650
1068326899696
1126a82832050
12112aa659b00
13659b928b83
143442733916
151b9d7c24b6
hexfe899bff0

68326899696 has 120 divisors (see below), whose sum is σ = 208712378160. Its totient is φ = 20694374400.

The previous prime is 68326899679. The next prime is 68326899701. The reversal of 68326899696 is 69699862386.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3362206 + ... + 3382466.

It is an arithmetic number, because the mean of its divisors is an integer number (1739269818).

Almost surely, 268326899696 is an apocalyptic number.

68326899696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68326899696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104356189080).

68326899696 is an abundant number, since it is smaller than the sum of its proper divisors (140385478464).

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

68326899696 is a wasteful number, since it uses less digits than its factorization.

68326899696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22415 (or 22406 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 68326899696 in words is "sixty-eight billion, three hundred twenty-six million, eight hundred ninety-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2129 4258 6387 8516 12774 17032 19161 20261 23419 25548 34064 38322 40522 46838 51096 60783 70257 76644 81044 93676 102192 121566 140514 153288 162088 182349 187352 210771 222871 243132 281028 306576 324176 364698 374704 421542 445742 486264 562056 668613 729396 843084 891484 972528 1124112 1337226 1458792 1686168 1782968 2005839 2674452 2917584 3372336 3565936 4011678 5348904 8023356 10697808 16046712 32093424 43135669 86271338 129407007 172542676 258814014 345085352 388221021 474492359 517628028 690170704 776442042 948984718 1035256056 1423477077 1552884084 1897969436 2070512112 2846954154 3105768168 3795938872 4270431231 5693908308 6211536336 7591877744 8540862462 11387816616 17081724924 22775633232 34163449848 68326899696