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48268686284 = 227134322313829
BaseRepresentation
bin101100111101000010…
…011011001111001100
311121120221001022200122
4230331002123033030
51242323240430114
634101353244112
73326100030620
oct547502331714
9147527038618
1048268686284
111951a462475
129431103638
13472317b540
14249c817180
1513c78a7e8e
hexb3d09b3cc

48268686284 has 96 divisors (see below), whose sum is σ = 106865848320. Its totient is φ = 18566247168.

The previous prime is 48268686281. The next prime is 48268686299.

It is a happy number.

48268686284 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (48268686281) 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, 3483482 + ... + 3497310.

It is an arithmetic number, because the mean of its divisors is an integer number (1113185920).

Almost surely, 248268686284 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 48268686284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53432924160).

48268686284 is an abundant number, since it is smaller than the sum of its proper divisors (58597162036).

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

48268686284 is a wasteful number, since it uses less digits than its factorization.

48268686284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14119 (or 14117 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 62.

The spelling of 48268686284 in words is "forty-eight billion, two hundred sixty-eight million, six hundred eighty-six thousand, two hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 43 52 86 91 172 182 223 301 364 446 559 602 892 1118 1204 1561 2236 2899 3122 3913 5798 6244 7826 9589 11596 13829 15652 19178 20293 27658 38356 40586 55316 67123 81172 96803 124657 134246 179777 193606 249314 268492 359554 387212 498628 594647 719108 872599 1189294 1258439 1745198 2378588 2516878 3083867 3490396 4162529 5033756 6167734 7730411 8325058 12335468 15460822 16650116 21587069 30921644 40090271 43174138 54112877 80180542 86348276 108225754 132606281 160361084 216451508 265212562 280631897 530425124 561263794 928243967 1122527588 1723881653 1856487934 3447763306 3712975868 6895526612 12067171571 24134343142 48268686284