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53761937268 = 2231321031631579
BaseRepresentation
bin110010000100011101…
…100000111101110100
312010202202120101101210
4302010131200331310
51340101023443033
640410424521420
73612161632614
oct620435407564
9163682511353
1053761937268
1120889237216
12a504920270
1350ba26b300
1428601d4a44
1515e9c92d63
hexc84760f74

53761937268 has 144 divisors (see below), whose sum is σ = 138084011520. Its totient is φ = 16270720128.

The previous prime is 53761937233. The next prime is 53761937287. The reversal of 53761937268 is 86273916735.

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 47 ways as a sum of consecutive naturals, for example, 34047303 + ... + 34048881.

Almost surely, 253761937268 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 53761937268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69042005760).

53761937268 is an abundant number, since it is smaller than the sum of its proper divisors (84322074252).

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

53761937268 is a wasteful number, since it uses less digits than its factorization.

53761937268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1863 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 57.

The spelling of 53761937268 in words is "fifty-three billion, seven hundred sixty-one million, nine hundred thirty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 163 169 206 309 326 338 412 489 507 618 652 676 978 1014 1236 1339 1579 1956 2028 2119 2678 3158 4017 4238 4737 5356 6316 6357 8034 8476 9474 12714 16068 16789 17407 18948 20527 25428 27547 33578 34814 41054 50367 52221 55094 61581 67156 69628 82108 82641 100734 104442 110188 123162 162637 165282 201468 208884 218257 246324 257377 266851 325274 330564 436514 487911 514754 533702 650548 654771 772131 800553 873028 975822 1029508 1067404 1309542 1544262 1601106 1951644 2114281 2619084 2837341 3088524 3202212 3345901 4228562 5674682 6342843 6691802 8457124 8512023 10037703 11349364 12685686 13383604 17024046 20075406 25371372 26509831 27485653 34048092 40150812 43496713 53019662 54971306 79529493 82456959 86993426 106039324 109942612 130490139 159058986 164913918 173986852 260980278 318117972 329827836 344627803 521960556 689255606 1033883409 1378511212 2067766818 4135533636 4480161439 8960322878 13440484317 17920645756 26880968634 53761937268