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5450766355632 = 24313124913075351
BaseRepresentation
bin100111101010001101011…
…1111100000110010110000
3201022002101021112120022210
41033110122333200302300
51203301132141340012
615332014131532120
71101543033364653
oct117243277406260
921262337476283
105450766355632
111811725563274
1274048a75a040
1330700b1754a0
1414bb65d6789a
1596bc0ddd23c
hex4f51afe0cb0

5450766355632 has 160 divisors (see below), whose sum is σ = 15190902720000. Its totient is φ = 1674220953600.

The previous prime is 5450766355523. The next prime is 5450766355667. The reversal of 5450766355632 is 2365536670545.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018641757 + ... + 1018647107.

It is an arithmetic number, because the mean of its divisors is an integer number (94943142000).

Almost surely, 25450766355632 is an apocalyptic number.

5450766355632 is a gapful number since it is divisible by the number (52) 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 5450766355632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595451360000).

5450766355632 is an abundant number, since it is smaller than the sum of its proper divisors (9740136364368).

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

5450766355632 is a wasteful number, since it uses less digits than its factorization.

5450766355632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7931 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 57.

The spelling of 5450766355632 in words is "five trillion, four hundred fifty billion, seven hundred sixty-six million, three hundred fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1249 1307 2498 2614 3747 3921 4996 5228 5351 7494 7842 9992 10456 10702 14988 15684 16053 16237 16991 19984 20912 21404 29976 31368 32106 32474 33982 42808 48711 50973 59952 62736 64212 64948 67964 69563 85616 97422 101946 128424 129896 135928 139126 194844 203892 208689 256848 259792 271856 278252 389688 407784 417378 556504 779376 815568 834756 1113008 1632443 1669512 3264886 3339024 4897329 6529772 6683399 6993757 9794658 13059544 13366798 13987514 19589316 20050197 20981271 21221759 26119088 26733596 27975028 39178632 40100394 41962542 42443518 53467192 55950056 63665277 78357264 80200788 83925084 84887036 86884187 90918841 106934384 111900112 127330554 160401576 167850168 169774072 173768374 181837682 254661108 260652561 272756523 320803152 335700336 339548144 347536748 363675364 509322216 521305122 545513046 695073496 727350728 1018644432 1042610244 1091026092 1390146992 1454701456 2085220488 2182052184 4170440976 4364104368 8735202493 17470404986 26205607479 34940809972 52411214958 69881619944 104822429916 113557632409 139763239888 209644859832 227115264818 340672897227 419289719664 454230529636 681345794454 908461059272 1362691588908 1816922118544 2725383177816 5450766355632