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61743227371133 = 72112234373144241
BaseRepresentation
bin11100000100111101101110…
…01000100111111001111101
322002121121001200020022120212
432002132313020213321331
531043100112201334013
6335152240322522205
716001541506211200
oct1602366710477175
9262547050208525
1061743227371133
1118745179232400
126b12301b06365
13285b490b99579
141136561123937
1572113a3b16a8
hex3827b7227e7d

61743227371133 has 144 divisors (see below), whose sum is σ = 85450354754688. Its totient is φ = 44333514086400.

The previous prime is 61743227371121. The next prime is 61743227371151. The reversal of 61743227371133 is 33117372234716.

It is not a de Polignac number, because 61743227371133 - 216 = 61743227305597 is a prime.

It is a super-2 number, since 2×617432273711332 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61743227371933) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 427983893 + ... + 428128133.

It is an arithmetic number, because the mean of its divisors is an integer number (593405241352).

Almost surely, 261743227371133 is an apocalyptic number.

It is an amenable number.

61743227371133 is a deficient number, since it is larger than the sum of its proper divisors (23707127383555).

61743227371133 is a wasteful number, since it uses less digits than its factorization.

61743227371133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144416 (or 144398 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 50.

The spelling of 61743227371133 in words is "sixty-one trillion, seven hundred forty-three billion, two hundred twenty-seven million, three hundred seventy-one thousand, one hundred thirty-three".

Divisors: 1 7 11 23 43 49 73 77 121 161 253 301 473 511 539 803 847 989 1127 1679 1771 2107 2783 3139 3311 3577 5203 5621 5929 6923 8833 10879 11753 12397 18469 19481 21973 23177 34529 36421 39347 48461 61831 72197 76153 82271 119669 129283 136367 144241 153811 203159 241703 254947 379819 432817 505379 533071 794167 837683 904981 1009687 1422113 1586651 1691921 2658733 3317543 3537653 5559169 5863781 6202363 7067809 8735837 9954791 10529593 11106557 17453161 18611131 23222801 36492973 38914183 43416541 61150859 68225993 73707151 77745899 115825523 122172127 142654349 162559607 242180639 255450811 303915787 401422703 428056013 452772499 477581951 515950057 750485923 810778661 855204889 998580443 1274080753 1569197839 1695264473 1788155677 2663987029 2809958921 3169407493 3343073657 4980497489 5253401461 5675450627 6990063101 8918565271 10413767477 10984384873 11866851311 17261176229 18647909203 19669712447 22185852451 29303857319 34863482423 36773810227 54785472379 62429956897 72896372339 76890694111 114551442247 120828233603 130535364421 205127001233 244044376961 383498306653 510274606373 801860095729 845797635221 1260065864717 1435889008631 2684488146571 5613020670103 8820461053019 61743227371133