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5301141623652 = 2237259571267611
BaseRepresentation
bin100110100100100010010…
…1010011101001101100100
3200202210011200012122101210
41031021010222131031210
51143323214223424102
615135151050351420
71054665142220400
oct115110452351544
920683150178353
105301141623652
111764224278586
1271749172b570
132c5b84588414
14144810380100
1592d6523936c
hex4d244a9d364

5301141623652 has 144 divisors (see below), whose sum is σ = 14658372368640. Its totient is φ = 1486327348800.

The previous prime is 5301141623641. The next prime is 5301141623677. The reversal of 5301141623652 is 2563261411035.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5301141623652.

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 47 ways as a sum of consecutive naturals, for example, 19675327 + ... + 19942937.

It is an arithmetic number, because the mean of its divisors is an integer number (101794252560).

Almost surely, 25301141623652 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 5301141623652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329186184320).

5301141623652 is an abundant number, since it is smaller than the sum of its proper divisors (9357230744988).

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

5301141623652 is a wasteful number, since it uses less digits than its factorization.

5301141623652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268262 (or 268253 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 5301141623652 in words is "five trillion, three hundred one billion, one hundred forty-one million, six hundred twenty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 571 588 708 826 1142 1239 1652 1713 2284 2478 2891 3426 3997 4956 5782 6852 7994 8673 11564 11991 15988 17346 23982 27979 33689 34692 47964 55958 67378 83937 101067 111916 134756 167874 202134 235823 267611 335748 404268 471646 535222 707469 802833 943292 1070444 1414938 1605666 1650761 1873277 2829876 3211332 3301522 3746554 4952283 5619831 6603044 7493108 9904566 11239662 13112939 15789049 19809132 22479324 26225878 31578098 39338817 47367147 52451756 63156196 78677634 94734294 110523343 152805881 157355268 189468588 221046686 305611762 331570029 442093372 458417643 611223524 663140058 773663401 916835286 1069641167 1326280116 1547326802 1833670572 2139282334 2320990203 3094653604 3208923501 4278564668 4641980406 6417847002 7487488169 9015546979 9283960812 12835694004 14974976338 18031093958 22462464507 27046640937 29949952676 36062187916 44924929014 54093281874 63108828853 89849858028 108186563748 126217657706 189326486559 252435315412 378652973118 441761801971 757305946236 883523603942 1325285405913 1767047207884 2650570811826 5301141623652