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5292290647248 = 24311175231127351
BaseRepresentation
bin100110100000011010100…
…0110101010010011010000
3200201221022211112110022220
41031000311012222103100
51143202102401202443
615131124511301040
71054232616161433
oct115006506522320
920657284473286
105292290647248
1117604a2111a50
1271582151a780
132c50a3954787
14144210a7b81a
15929e8197a83
hex4d0351aa4d0

5292290647248 has 160 divisors (see below), whose sum is σ = 15822177887232. Its totient is φ = 1506500352000.

The previous prime is 5292290647207. The next prime is 5292290647279. The reversal of 5292290647248 is 8427460922925.

It is a junction number, because it is equal to n+sod(n) for n = 5292290647191 and 5292290647200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4130773 + ... + 5258123.

Almost surely, 25292290647248 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 5292290647248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911088943616).

5292290647248 is an abundant number, since it is smaller than the sum of its proper divisors (10529887239984).

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

5292290647248 is a wasteful number, since it uses less digits than its factorization.

5292290647248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127913 (or 1127907 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 5292290647248 in words is "five trillion, two hundred ninety-two billion, two hundred ninety million, six hundred forty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 523 528 561 748 816 1046 1122 1496 1569 2092 2244 2992 3138 4184 4488 5753 6276 8368 8891 8976 11506 12552 17259 17782 23012 25104 26673 34518 35564 46024 53346 69036 71128 92048 97801 106692 138072 142256 195602 213384 276144 293403 391204 426768 586806 782408 1127351 1173612 1564816 2254702 2347224 3382053 4509404 4694448 6764106 9018808 12400861 13528212 18037616 19164967 24801722 27056424 37202583 38329934 49603444 54112848 57494901 74405166 76659868 99206888 114989802 148810332 153319736 198413776 210814637 229979604 297620664 306639472 421629274 459959208 589604573 595241328 632443911 843258548 919918416 1179209146 1264887822 1686517096 1768813719 2358418292 2529775644 3373034192 3537627438 4716836584 5059551288 6485650303 7075254876 9433673168 10023277741 10119102576 12971300606 14150509752 19456950909 20046555482 25942601212 28301019504 30069833223 38913901818 40093110964 51885202424 60139666446 77827803636 80186221928 103770404848 110256055151 120279332892 155655607272 160372443856 220512110302 240558665784 311311214544 330768165453 441024220604 481117331568 661536330906 882048441208 1323072661812 1764096882416 2646145323624 5292290647248