Search a number
-
+
35268453027990 = 23257213615183203
BaseRepresentation
bin10000000010011100100111…
…00111010101000010010110
311121212122001010112200121200
420001032103213111002112
514110314242433343430
6203002034215453330
710300030100263500
oct1001162347250226
9147778033480550
1035268453027990
11102682a3318916
123b57319687246
13168aa5460c970
1489d0061bad70
15412630358460
hex2013939d5096

35268453027990 has 144 divisors (see below), whose sum is σ = 114874390049328. Its totient is φ = 7441256011392.

The previous prime is 35268453027959. The next prime is 35268453028013. The reversal of 35268453027990 is 9972035486253.

35268453027990 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 8 + 4 + 530 + 2 + 7 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 307534272 + ... + 307648931.

It is an arithmetic number, because the mean of its divisors is an integer number (797738819787).

Almost surely, 235268453027990 is an apocalyptic number.

35268453027990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35268453027990 is an abundant number, since it is smaller than the sum of its proper divisors (79605937021338).

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

35268453027990 is a wasteful number, since it uses less digits than its factorization.

35268453027990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615183243 (or 615183233 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 35268453027990 in words is "thirty-five trillion, two hundred sixty-eight billion, four hundred fifty-three million, twenty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2205 2730 3185 3822 4095 4410 5733 6370 8190 9555 11466 19110 28665 57330 615183203 1230366406 1845549609 3075916015 3691099218 4306282421 5536648827 6151832030 7997381639 8612564842 9227748045 11073297654 12918847263 15994763278 18455496090 21531412105 23992144917 25837694526 27683244135 30143976947 38756541789 39986908195 43062824210 47984289834 55366488270 55981671473 60287953894 64594236315 71976434751 77513083578 79973816390 90431930841 111963342946 119960724585 129188472630 143952869502 150719884735 167945014419 180863861682 193782708945 239921449170 271295792523 279908357365 301439769470 335890028838 359882173755 387565417890 391871700311 452159654205 503835043257 542591585046 559816714730 719764347510 783743400622 839725072095 904319308410 1007670086514 1175615100933 1356478962615 1679450144190 1959358501555 2351230201866 2519175216285 2712957925230 3526845302799 3918717003110 5038350432570 5878075504665 7053690605598 11756151009330 17634226513995 35268453027990