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48009813336 = 23323124678719
BaseRepresentation
bin101100101101100110…
…111001110101011000
311120220212221012202200
4230231212321311120
51241311003011321
634015544530200
73316504452162
oct545546716530
9146825835680
1048009813336
11193a7319391
12937a480960
1346b1650294
1424762ab932
1513aecbed26
hexb2d9b9d58

48009813336 has 96 divisors (see below), whose sum is σ = 134290790400. Its totient is φ = 15478983360.

The previous prime is 48009813307. The next prime is 48009813349. The reversal of 48009813336 is 63331890084.

48009813336 is a `hidden beast` number, since 480 + 0 + 9 + 8 + 133 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48009813291 and 48009813300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5501985 + ... + 5510703.

It is an arithmetic number, because the mean of its divisors is an integer number (1398862400).

Almost surely, 248009813336 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 48009813336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67145395200).

48009813336 is an abundant number, since it is smaller than the sum of its proper divisors (86280977064).

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

48009813336 is a wasteful number, since it uses less digits than its factorization.

48009813336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11229 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 48009813336 in words is "forty-eight billion, nine million, eight hundred thirteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 2467 4934 7401 8719 9868 14802 17438 19736 22203 26157 29604 34876 44406 52314 59208 69752 76477 78471 88812 104628 152954 156942 177624 209256 229431 270289 305908 313884 458862 540578 611816 627768 688293 810867 917724 1081156 1376586 1621734 1835448 2162312 2432601 2753172 3243468 4865202 5506344 6486936 9730404 19460808 21509773 43019546 64529319 86039092 129058638 172078184 193587957 258117276 387175914 516234552 666802963 774351828 1333605926 1548703656 2000408889 2667211852 4000817778 5334423704 6001226667 8001635556 12002453334 16003271112 24004906668 48009813336