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48548345220 = 2233515123943
BaseRepresentation
bin101101001101101101…
…001111010110000100
311122022102021110122000
4231031231033112010
51243411334021340
634145223305300
73336034061034
oct551555172604
9148272243560
1048548345220
1119653303361
1294aa8ab230
1347690a68bb
1424c7a138c4
1513e21e9d30
hexb4db4f584

48548345220 has 144 divisors (see below), whose sum is σ = 152084741760. Its totient is φ = 12857227200.

The previous prime is 48548345179. The next prime is 48548345257. The reversal of 48548345220 is 2254384584.

48548345220 is a `hidden beast` number, since 4 + 8 + 548 + 34 + 52 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 12310569 + ... + 12314511.

It is an arithmetic number, because the mean of its divisors is an integer number (1056144040).

Almost surely, 248548345220 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 48548345220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76042370880).

48548345220 is an abundant number, since it is smaller than the sum of its proper divisors (103536396540).

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

48548345220 is a wasteful number, since it uses less digits than its factorization.

48548345220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 48548345220 in words is "forty-eight billion, five hundred forty-eight million, three hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 151 180 270 302 453 540 604 755 906 1359 1510 1812 2265 2718 3020 3943 4077 4530 5436 6795 7886 8154 9060 11829 13590 15772 16308 19715 20385 22801 23658 27180 35487 39430 40770 45602 47316 59145 68403 70974 78860 81540 91204 106461 114005 118290 136806 141948 177435 205209 212922 228010 236580 273612 342015 354870 410418 425844 456020 532305 595393 615627 684030 709740 820836 1026045 1064610 1190786 1231254 1368060 1786179 2052090 2129220 2381572 2462508 2976965 3078135 3572358 4104180 5358537 5953930 6156270 7144716 8930895 10717074 11907860 12312540 16075611 17861790 21434148 26792685 32151222 35723580 53585370 64302444 80378055 89904343 107170740 160756110 179808686 269713029 321512220 359617372 449521715 539426058 809139087 899043430 1078852116 1348565145 1618278174 1798086860 2427417261 2697130290 3236556348 4045695435 4854834522 5394260580 8091390870 9709669044 12137086305 16182781740 24274172610 48548345220