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48220135680 = 283527146337
BaseRepresentation
bin101100111010001001…
…001110000100000000
311121110112200200210010
4230322021032010000
51242223323320210
634052500504520
73324640250643
oct547211160400
9147415620703
1048220135680
11194a5011702
1294189ab140
1347160aca82
1424961b9a5a
1513c34b7920
hexb3a24e100

48220135680 has 144 divisors (see below), whose sum is σ = 154574671104. Its totient is φ = 12810977280.

The previous prime is 48220135661. The next prime is 48220135681. The reversal of 48220135680 is 8653102284.

It is not an unprimeable number, because it can be changed into a prime (48220135681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017472 + ... + 1063808.

It is an arithmetic number, because the mean of its divisors is an integer number (1073435216).

Almost surely, 248220135680 is an apocalyptic number.

48220135680 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 48220135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77287335552).

48220135680 is an abundant number, since it is smaller than the sum of its proper divisors (106354535424).

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

48220135680 is a wasteful number, since it uses less digits than its factorization.

48220135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46632 (or 46618 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 48220135680 in words is "forty-eight billion, two hundred twenty million, one hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 271 320 384 480 542 640 768 813 960 1084 1280 1355 1626 1920 2168 2710 3252 3840 4065 4336 5420 6504 8130 8672 10840 13008 16260 17344 21680 26016 32520 34688 43360 46337 52032 65040 69376 86720 92674 104064 130080 139011 173440 185348 208128 231685 260160 278022 346880 370696 463370 520320 556044 695055 741392 926740 1040640 1112088 1390110 1482784 1853480 2224176 2780220 2965568 3706960 4448352 5560440 5931136 7413920 8896704 11120880 11862272 12557327 14827840 17793408 22241760 25114654 29655680 35586816 37671981 44483520 50229308 59311360 62786635 75343962 88967040 100458616 125573270 150687924 177934080 188359905 200917232 251146540 301375848 376719810 401834464 502293080 602751696 753439620 803668928 1004586160 1205503392 1506879240 1607337856 2009172320 2411006784 3013758480 3214675712 4018344640 4822013568 6027516960 8036689280 9644027136 12055033920 16073378560 24110067840 48220135680