Search a number
-
+
535702161405040 = 245711361667137279
BaseRepresentation
bin111100111001101111110000…
…1000010010011010001110000
32121020202121220200221200101021
41321303133201002103101300
51030203421011304430130
65135202101525145224
7220560126644645230
oct17163374102232160
92536677820850337
10535702161405040
11145767013428633
12500ba801b5b214
1319cbb660071606
1496401a1565cc0
1541dec98ae737a
hex1e737e1093470

535702161405040 has 160 divisors (see below), whose sum is σ = 1436067708641280. Its totient is φ = 182039642222592.

The previous prime is 535702161405017. The next prime is 535702161405043. The reversal of 535702161405040 is 40504161207535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535702161405043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3902219121 + ... + 3902356399.

It is an arithmetic number, because the mean of its divisors is an integer number (8975423179008).

Almost surely, 2535702161405040 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 535702161405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718033854320640).

535702161405040 is an abundant number, since it is smaller than the sum of its proper divisors (900365547236240).

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

535702161405040 is a wasteful number, since it uses less digits than its factorization.

535702161405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199079 (or 199073 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 535702161405040 in words is "five hundred thirty-five trillion, seven hundred two billion, one hundred sixty-one million, four hundred five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 113 140 226 280 452 560 565 791 904 1130 1582 1808 2260 3164 3955 4520 6328 7910 9040 12656 15820 31640 61667 63280 123334 137279 246668 274558 308335 431669 493336 549116 616670 686395 863338 960953 986672 1098232 1233340 1372790 1726676 1921906 2158345 2196464 2466680 2745580 3453352 3843812 4316690 4804765 4933360 5491160 6906704 6968371 7687624 8633380 9609530 10982320 13936742 15375248 15512527 17266760 19219060 27873484 31025054 34533520 34841855 38438120 48778597 55746968 62050108 69683710 76876240 77562635 97557194 108587689 111493936 124100216 139367420 155125270 195114388 217175378 243892985 248200432 278734840 310250540 390228776 434350756 487785970 542938445 557469680 620501080 780457552 868701512 975571940 1085876890 1241002160 1737403024 1951143880 2171753780 3902287760 4343507560 8465584093 8687015120 16931168186 33862336372 42327920465 59259088651 67724672744 84655840930 118518177302 135449345488 169311681860 237036354604 296295443255 338623363720 474072709208 592590886510 677246727440 948145418416 956611002509 1185181773020 1913222005018 2370363546040 3826444010036 4740727092080 4783055012545 6696277017563 7652888020072 9566110025090 13392554035126 15305776040144 19132220050180 26785108070252 33481385087815 38264440100360 53570216140504 66962770175630 76528880200720 107140432281008 133925540351260 267851080702520 535702161405040