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48095347248 = 243213109123549
BaseRepresentation
bin101100110010101101…
…001100001000110000
311121010211212210020100
4230302231030020300
51241444402102443
634032242112400
73321563464164
oct546255141060
9147124783210
1048095347248
111944062a273
1293a304b700
1346c629a470
1424837b4ca4
1513b75683d3
hexb32b4c230

48095347248 has 120 divisors (see below), whose sum is σ = 145093057200. Its totient is φ = 14784376320.

The previous prime is 48095347231. The next prime is 48095347249. The reversal of 48095347248 is 84274359084.

48095347248 is a `hidden beast` number, since 4 + 80 + 9 + 53 + 472 + 48 = 666.

It is a super-3 number, since 3×480953472483 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48095347194 and 48095347203.

It is not an unprimeable number, because it can be changed into a prime (48095347249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2030578 + ... + 2054126.

It is an arithmetic number, because the mean of its divisors is an integer number (1209108810).

Almost surely, 248095347248 is an apocalyptic number.

48095347248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48095347248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72546528600).

48095347248 is an abundant number, since it is smaller than the sum of its proper divisors (96997709952).

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

48095347248 is a wasteful number, since it uses less digits than its factorization.

48095347248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24667 (or 24658 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 48095347248 in words is "forty-eight billion, ninety-five million, three hundred forty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1091 1872 2182 3273 4364 6546 8728 9819 13092 14183 17456 19638 23549 26184 28366 39276 42549 47098 52368 56732 70647 78552 85098 94196 113464 127647 141294 157104 170196 188392 211941 226928 255294 282588 306137 340392 376784 423882 510588 565176 612274 680784 847764 918411 1021176 1130352 1224548 1695528 1836822 2042352 2449096 2755233 3391056 3673644 4898192 5510466 7347288 11020932 14694576 22041864 25691959 44083728 51383918 77075877 102767836 154151754 205535672 231227631 308303508 333995467 411071344 462455262 616607016 667990934 924910524 1001986401 1233214032 1335981868 1849821048 2003972802 2671963736 3005959203 3699642096 4007945604 5343927472 6011918406 8015891208 12023836812 16031782416 24047673624 48095347248