Search a number
-
+
53082757296 = 2433476142859
BaseRepresentation
bin110001011011111110…
…101001100010110000
312002000102120110122000
4301123332221202300
51332203141213141
640215203414000
73556303664232
oct613376514260
9162012513560
1053082757296
112056a918258
12a355384300
13500c63b67a
1427d7d1a252
1515aa3345b6
hexc5bfa98b0

53082757296 has 160 divisors (see below), whose sum is σ = 158163686400. Its totient is φ = 17033483520.

The previous prime is 53082757291. The next prime is 53082757297. The reversal of 53082757296 is 69275728035.

53082757296 is a `hidden beast` number, since 530 + 82 + 7 + 5 + 7 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53082757291) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1217115 + ... + 1259973.

It is an arithmetic number, because the mean of its divisors is an integer number (988523040).

Almost surely, 253082757296 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 53082757296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79081843200).

53082757296 is an abundant number, since it is smaller than the sum of its proper divisors (105080929104).

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

53082757296 is a wasteful number, since it uses less digits than its factorization.

53082757296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42984 (or 42972 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 53082757296 in words is "fifty-three billion, eighty-two million, seven hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 61 72 94 108 122 141 144 183 188 216 244 282 366 376 423 432 488 549 564 732 752 846 976 1098 1128 1269 1464 1647 1692 2196 2256 2538 2867 2928 3294 3384 4392 5076 5734 6588 6768 8601 8784 10152 11468 13176 17202 20304 22936 25803 26352 34404 42859 45872 51606 68808 77409 85718 103212 128577 137616 154818 171436 206424 257154 309636 342872 385731 412848 514308 619272 685744 771462 1028616 1157193 1238544 1542924 2014373 2057232 2314386 2614399 3085848 4028746 4628772 5228798 6043119 6171696 7843197 8057492 9257544 10457596 12086238 15686394 16114984 18129357 18515088 20915192 23529591 24172476 31372788 32229968 36258714 41830384 47059182 48344952 54388071 62745576 70588773 72517428 94118364 96689904 108776142 122876753 125491152 141177546 145034856 188236728 217552284 245753506 282355092 290069712 368630259 376473456 435104568 491507012 564710184 737260518 870209136 983014024 1105890777 1129420368 1474521036 1966028048 2211781554 2949042072 3317672331 4423563108 5898084144 6635344662 8847126216 13270689324 17694252432 26541378648 53082757296