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48133639680 = 29357895343
BaseRepresentation
bin101100110100111111…
…010000111000000000
311121020111221020120120
4230310333100320000
51242034202432210
634040130540240
73322540121010
oct546477207000
9147214836516
1048133639680
1119460203a05
1293b3a37680
1347011b69c9
142488901c40
1513baace270
hexb34fd0e00

48133639680 has 160 divisors (see below), whose sum is σ = 175859887104. Its totient is φ = 11001962496.

The previous prime is 48133639661. The next prime is 48133639789. The reversal of 48133639680 is 8693633184.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393912 + ... + 501431.

Almost surely, 248133639680 is an apocalyptic number.

48133639680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48133639680 is an abundant number, since it is smaller than the sum of its proper divisors (127726247424).

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

48133639680 is an equidigital number, since it uses as much as digits as its factorization.

48133639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895376 (or 895360 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 48133639680 in words is "forty-eight billion, one hundred thirty-three million, six hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 895343 1790686 2686029 3581372 4476715 5372058 6267401 7162744 8953430 10744116 12534802 13430145 14325488 17906860 18802203 21488232 25069604 26860290 28650976 31337005 35813720 37604406 42976464 50139208 53720580 57301952 62674010 71627440 75208812 85952928 94011015 100278416 107441160 114603904 125348020 143254880 150417624 171905856 188022030 200556832 214882320 229207808 250696040 286509760 300835248 343811712 376044060 401113664 429764640 458415616 501392080 573019520 601670496 687623424 752088120 802227328 859529280 1002784160 1146039040 1203340992 1375246848 1504176240 1604454656 1719058560 2005568320 2292078080 2406681984 3008352480 3208909312 3438117120 4011136640 4813363968 6016704960 6876234240 8022273280 9626727936 12033409920 16044546560 24066819840 48133639680