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48684283120 = 24511174577121
BaseRepresentation
bin101101010101110011…
…110011010011110000
311122122220001211101001
4231111303303103300
51244201134024440
634210521051344
73342304402324
oct552563632360
9148586054331
1048684283120
1119713010530
129528326b54
13478b2c1025
1424dbabb984
1513ee0ecb9a
hexb55cf34f0

48684283120 has 160 divisors (see below), whose sum is σ = 131049130176. Its totient is φ = 16623206400.

The previous prime is 48684283111. The next prime is 48684283139. The reversal of 48684283120 is 2138248684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6833160 + ... + 6840280.

Almost surely, 248684283120 is an apocalyptic number.

48684283120 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 48684283120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65524565088).

48684283120 is an abundant number, since it is smaller than the sum of its proper divisors (82364847056).

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

48684283120 is a wasteful number, since it uses less digits than its factorization.

48684283120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 48684283120 in words is "forty-eight billion, six hundred eighty-four million, two hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 457 680 748 880 914 935 1360 1496 1828 1870 2285 2992 3656 3740 4570 5027 7121 7312 7480 7769 9140 10054 14242 14960 15538 18280 20108 25135 28484 31076 35605 36560 38845 40216 50270 56968 62152 71210 77690 78331 80432 85459 100540 113936 121057 124304 142420 155380 156662 170918 201080 242114 284840 310760 313324 341836 391655 402160 427295 484228 569680 605285 621520 626648 683672 783310 854590 968456 1210570 1253296 1331627 1367344 1566620 1709180 1936912 2421140 2663254 3133240 3254297 3418360 4842280 5326508 6266480 6508594 6658135 6836720 9684560 10653016 13017188 13316270 16271485 21306032 26034376 26632540 32542970 35797267 52068752 53265080 55323049 65085940 71594534 106530160 110646098 130171880 143189068 178986335 221292196 260343760 276615245 286378136 357972670 442584392 553230490 572756272 608553539 715945340 885168784 1106460980 1217107078 1431890680 2212921960 2434214156 2863781360 3042767695 4425843920 4868428312 6085535390 9736856624 12171070780 24342141560 48684283120