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48421787296608 = 2534111698295009
BaseRepresentation
bin10110000001010000100110…
…11011100110001101100000
320100110002002121112010110000
423000220103123212031200
522321320310021442413
6250552354553540000
713125234012656205
oct1300502333461540
9210402077463400
1048421787296608
1114479623637060
125520572714600
13210320256772b
14bd58ac72dcac
1558e866191073
hex2c0a136e6360

48421787296608 has 120 divisors (see below), whose sum is σ = 155353234334760. Its totient is φ = 14673268869120.

The previous prime is 48421787296601. The next prime is 48421787296609. The reversal of 48421787296608 is 80669278712484.

48421787296608 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 1 + 7 + 8 + 7 + 2 + 9 + 6 + 608 = 666.

It is a super-3 number, since 3×484217872966083 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48421787296601) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 849118993 + ... + 849176016.

It is an arithmetic number, because the mean of its divisors is an integer number (1294610286123).

Almost surely, 248421787296608 is an apocalyptic number.

48421787296608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48421787296608 is an abundant number, since it is smaller than the sum of its proper divisors (106931447038152).

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

48421787296608 is a wasteful number, since it uses less digits than its factorization.

48421787296608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698295042 (or 1698295025 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 48421787296608 in words is "forty-eight trillion, four hundred twenty-one billion, seven hundred eighty-seven million, two hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 1698295009 3396590018 5094885027 6793180036 10189770054 13586360072 15284655081 18681245099 20379540108 27172720144 30569310162 37362490198 40759080216 45853965243 54345440288 56043735297 61138620324 74724980396 81518160432 91707930486 112087470594 122277240648 137561895729 149449960792 163036320864 168131205891 183415860972 224174941188 244554481296 275123791458 298899921584 336262411782 366831721944 448349882376 489108962592 504393617673 550247582916 597799843168 672524823564 733663443888 896699764752 1008787235346 1100495165832 1345049647128 1467326887776 1513180853019 1793399529504 2017574470692 2200990331664 2690099294256 3026361706038 4035148941384 4401980663328 5380198588512 6052723412076 8070297882768 12105446824152 16140595765536 24210893648304 48421787296608