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67561425984 = 2631342896311
BaseRepresentation
bin111110111010111110…
…011000110001000000
320110101110202001012110
4332322332120301000
52101331211112414
651012015455320
74611143434263
oct767276306100
9213343661173
1067561425984
112671a733348
1211116227540
1364a9174250
1433acbd4cda
151b564ba459
hexfbaf98c40

67561425984 has 112 divisors (see below), whose sum is σ = 192582149760. Its totient is φ = 20779991040.

The previous prime is 67561425983. The next prime is 67561425989. The reversal of 67561425984 is 48952416576.

It is a super-5 number, since 5×675614259845 (a number of 55 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (67561425983) 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, 10702189 + ... + 10708499.

It is an arithmetic number, because the mean of its divisors is an integer number (1719483480).

Almost surely, 267561425984 is an apocalyptic number.

67561425984 is a gapful number since it is divisible by the number (64) 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 67561425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96291074880).

67561425984 is an abundant number, since it is smaller than the sum of its proper divisors (125020723776).

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

67561425984 is a wasteful number, since it uses less digits than its factorization.

67561425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10628 (or 10618 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 67561425984 in words is "sixty-seven billion, five hundred sixty-one million, four hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4289 6311 8578 12622 12867 17156 18933 25244 25734 34312 37866 50488 51468 55757 68624 75732 82043 100976 102936 111514 137248 151464 164086 167271 201952 205872 223028 246129 274496 302928 328172 334542 403904 411744 446056 492258 605856 656344 669084 823488 892112 984516 1211712 1312688 1338168 1784224 1969032 2625376 2676336 3568448 3938064 5250752 5352672 7876128 10705344 15752256 27067879 54135758 81203637 108271516 162407274 216543032 324814548 351882427 433086064 649629096 703764854 866172128 1055647281 1299258192 1407529708 1732344256 2111294562 2598516384 2815059416 4222589124 5197032768 5630118832 8445178248 11260237664 16890356496 22520475328 33780712992 67561425984