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68026077744 = 243431132631109
BaseRepresentation
bin111111010110101010…
…111001001000110000
320111120212001210120220
4333112222321020300
52103304133441434
651130054533040
74625515056162
oct772652711060
9214525053526
1068026077744
1126938a47069
1211225967180
136551500c11
1434147c8932
151b8219ed49
hexfd6ab9230

68026077744 has 160 divisors (see below), whose sum is σ = 182266191360. Its totient is φ = 21848838144.

The previous prime is 68026077671. The next prime is 68026077797. The reversal of 68026077744 is 44777062086.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61339462 + ... + 61340570.

It is an arithmetic number, because the mean of its divisors is an integer number (1139163696).

Almost surely, 268026077744 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 68026077744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91133095680).

68026077744 is an abundant number, since it is smaller than the sum of its proper divisors (114240113616).

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

68026077744 is a wasteful number, since it uses less digits than its factorization.

68026077744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 68026077744 in words is "sixty-eight billion, twenty-six million, seventy-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 113 129 172 226 258 263 339 344 452 516 526 678 688 789 904 1032 1052 1109 1356 1578 1808 2064 2104 2218 2712 3156 3327 4208 4436 4859 5424 6312 6654 8872 9718 11309 12624 13308 14577 17744 19436 22618 26616 29154 29719 33927 38872 45236 47687 53232 58308 59438 67854 77744 89157 90472 95374 116616 118876 125317 135708 143061 178314 180944 190748 233232 237752 250634 271416 286122 291667 356628 375951 381496 475504 501268 542832 572244 583334 713256 751902 762992 875001 1002536 1144488 1166668 1277917 1426512 1503804 1750002 2005072 2288976 2333336 2555834 3007608 3500004 3833751 4666672 5111668 5388631 6015216 7000008 7667502 10223336 10777262 12541681 14000016 15335004 16165893 20446672 21554524 25083362 30670008 32331786 32958371 37625043 43109048 50166724 61340016 64663572 65916742 75250086 86218096 98875113 100333448 129327144 131833484 150500172 197750226 200666896 258654288 263666968 301000344 395500452 527333936 602000688 791000904 1417209953 1582001808 2834419906 4251629859 5668839812 8503259718 11337679624 17006519436 22675359248 34013038872 68026077744