Search a number
-
+
48837318816 = 25311133557497
BaseRepresentation
bin101101011110111011…
…100101100010100000
311200001120000211212210
4231132323211202200
51300004323200231
634234025122120
73346143234456
oct553673454240
9150046024783
1048837318816
1119791436510
12956b629340
1347b3c138b0
1425141569d6
15140c77ba46
hexb5eee58a0

48837318816 has 96 divisors (see below), whose sum is σ = 150610235328. Its totient is φ = 13660784640.

The previous prime is 48837318793. The next prime is 48837318863. The reversal of 48837318816 is 61881373884.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1765021 + ... + 1792476.

It is an arithmetic number, because the mean of its divisors is an integer number (1568856618).

Almost surely, 248837318816 is an apocalyptic number.

It is an amenable number.

48837318816 is an abundant number, since it is smaller than the sum of its proper divisors (101772916512).

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

48837318816 is a wasteful number, since it uses less digits than its factorization.

48837318816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557534 (or 3557526 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

It can be divided in two parts, 48837 and 318816, that added together give a triangular number (367653 = T857).

The spelling of 48837318816 in words is "forty-eight billion, eight hundred thirty-seven million, three hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 3557497 7114994 10672491 14229988 21344982 28459976 39132467 42689964 46247461 56919952 78264934 85379928 92494922 113839904 117397401 138742383 156529868 170759856 184989844 234794802 277484766 313059736 341519712 369979688 469589604 508722071 554969532 626119472 739959376 939179208 1017444142 1109939064 1252238944 1479918752 1526166213 1878358416 2034888284 2219878128 3052332426 3756716832 4069776568 4439756256 6104664852 8139553136 12209329704 16279106272 24418659408 48837318816