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48982099760 = 24511415032699
BaseRepresentation
bin101101100111100011…
…111000011100110000
311200102122110110222222
4231213203320130300
51300303404143020
634300240220212
73352551656366
oct554743703460
9150378413888
1048982099760
1119856133590
1295b000a668
134807c060a9
142529483636
15141a329b25
hexb678f8730

48982099760 has 160 divisors (see below), whose sum is σ = 127566835200. Its totient is φ = 17336268800.

The previous prime is 48982099739. The next prime is 48982099811. The reversal of 48982099760 is 6799028984.

It is a Cunningham number, because it is equal to 2213192-1.

It is a junction number, because it is equal to n+sod(n) for n = 48982099693 and 48982099702.

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 31 ways as a sum of consecutive naturals, for example, 18146891 + ... + 18149589.

It is an arithmetic number, because the mean of its divisors is an integer number (797292720).

Almost surely, 248982099760 is an apocalyptic number.

48982099760 is a gapful number since it is divisible by the number (40) 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 48982099760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63783417600).

48982099760 is an abundant number, since it is smaller than the sum of its proper divisors (78584735440).

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

48982099760 is a wasteful number, since it uses less digits than its factorization.

48982099760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 62.

The spelling of 48982099760 in words is "forty-eight billion, nine hundred eighty-two million, ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 503 656 820 880 902 1006 1640 1804 2012 2255 2515 2699 3280 3608 4024 4510 5030 5398 5533 7216 8048 9020 10060 10796 11066 13495 18040 20120 20623 21592 22132 26990 27665 29689 36080 40240 41246 43184 44264 53980 55330 59378 82492 88528 103115 107960 110659 110660 118756 148445 164984 206230 215920 221318 221320 226853 237512 296890 329968 412460 442636 442640 453706 475024 553295 593780 824920 885272 907412 1106590 1134265 1187560 1217249 1357597 1649840 1770544 1814824 2213180 2268530 2375120 2434498 2715194 3629648 4426360 4537060 4868996 5430388 6086245 6787985 8852720 9074120 9737992 10860776 12172490 13575970 14933567 18148240 19475984 21721552 24344980 27151940 29867134 48689960 54303880 55661477 59734268 74667835 97379920 108607760 111322954 119468536 149335670 222645908 238937072 278307385 298671340 445291816 556614770 597342680 612276247 890583632 1113229540 1194685360 1224552494 2226459080 2449104988 3061381235 4452918160 4898209976 6122762470 9796419952 12245524940 24491049880 48982099760