Search a number
-
+
5251578240768 = 283171372329311
BaseRepresentation
bin100110001101011101001…
…1101001001111100000000
3200121001020111221220212020
41030122322131021330000
51142020213012201033
615100313003201440
71051262001345006
oct114327235117400
920531214856766
105251578240768
111745200010422
1270995ab16280
132c12b610ab22
1414226ba26a76
1591913d8c6b3
hex4c6ba749f00

5251578240768 has 144 divisors (see below), whose sum is σ = 14800608055296. Its totient is φ = 1647377694720.

The previous prime is 5251578240761. The next prime is 5251578240781. The reversal of 5251578240768 is 8670428751525.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5251578240761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179152833 + ... + 179182143.

It is an arithmetic number, because the mean of its divisors is an integer number (102782000384).

Almost surely, 25251578240768 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 5251578240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400304027648).

5251578240768 is an abundant number, since it is smaller than the sum of its proper divisors (9549029814528).

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

5251578240768 is a wasteful number, since it uses less digits than its factorization.

5251578240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43070 (or 43056 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 60.

The spelling of 5251578240768 in words is "five trillion, two hundred fifty-one billion, five hundred seventy-eight million, two hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 13723 27446 29311 41169 54892 58622 82338 87933 109784 117244 164676 175866 219568 233291 234488 329352 351732 439136 466582 468976 498287 658704 699873 703464 878272 933164 937952 996574 1317408 1399746 1406928 1494861 1756544 1866328 1875904 1993148 2634816 2799492 2813856 2989722 3513088 3732656 3751808 3986296 5269632 5598984 5627712 5979444 7465312 7503616 7972592 10539264 11197968 11255424 11958888 14930624 15945184 22395936 22510848 23917776 29861248 31890368 44791872 47835552 59722496 63780736 89583744 95671104 127561472 179167488 191342208 382684416 402234853 804469706 1206704559 1608939412 2413409118 3217878824 4826818236 6435757648 6837992501 9653636472 12871515296 13675985002 19307272944 20513977503 25743030592 27351970004 38614545888 41027955006 51486061184 54703940008 77229091776 82055910012 102972122368 109407880016 154458183552 164111820024 218815760032 308916367104 328223640048 437631520064 656447280096 875263040128 1312894560192 1750526080256 2625789120384 5251578240768