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48133867648 = 273156921319
BaseRepresentation
bin101100110101000000…
…001000100010000000
311121020112100211021211
4230311000020202000
51242034232231043
634040135455504
73322542060436
oct546500104200
9147215324254
1048133867648
111946034a209
1293b3b27594
1347012666b9
142488960d56
1513bab26a9d
hexb35008880

48133867648 has 64 divisors (see below), whose sum is σ = 99163584000. Its totient is φ = 23248558080.

The previous prime is 48133867637. The next prime is 48133867667. The reversal of 48133867648 is 84676833184.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 48133867592 and 48133867601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2247133 + ... + 2268451.

It is an arithmetic number, because the mean of its divisors is an integer number (1549431000).

Almost surely, 248133867648 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 48133867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49581792000).

48133867648 is an abundant number, since it is smaller than the sum of its proper divisors (51029716352).

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

48133867648 is a wasteful number, since it uses less digits than its factorization.

48133867648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21933 (or 21921 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 58.

The spelling of 48133867648 in words is "forty-eight billion, one hundred thirty-three million, eight hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 569 992 1138 1984 2276 3968 4552 9104 17639 18208 21319 35278 36416 42638 70556 72832 85276 141112 170552 282224 341104 564448 660889 682208 1128896 1321778 1364416 2257792 2643556 2728832 5287112 10574224 12130511 21148448 24261022 42296896 48522044 84593792 97044088 194088176 376045841 388176352 752091682 776352704 1504183364 1552705408 3008366728 6016733456 12033466912 24066933824 48133867648