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46486408080 = 2435742116571
BaseRepresentation
bin101011010010110011…
…100100101110010000
311102222201101012121210
4223102303210232100
51230201010024310
633204445020120
73233655643350
oct532263445620
9142881335553
1046486408080
1118795402482
129014254640
1344cab54958
14236dc34b60
1513211a0820
hexad2ce4b90

46486408080 has 160 divisors (see below), whose sum is σ = 164758883328. Its totient is φ = 10621324800.

The previous prime is 46486408079. The next prime is 46486408093. The reversal of 46486408080 is 8080468464.

It is a super-2 number, since 2×464864080802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7071195 + ... + 7077765.

Almost surely, 246486408080 is an apocalyptic number.

46486408080 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 46486408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82379441664).

46486408080 is an abundant number, since it is smaller than the sum of its proper divisors (118272475248).

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

46486408080 is a wasteful number, since it uses less digits than its factorization.

46486408080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10805 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 46486408080 in words is "forty-six billion, four hundred eighty-six million, four hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 4211 6571 8422 12633 13142 16844 19713 21055 25266 26284 29477 32855 33688 39426 42110 45997 50532 52568 58954 63165 65710 67376 78852 84220 88431 91994 98565 101064 105136 117908 126330 131420 137991 147385 157704 168440 176862 183988 197130 202128 229985 235816 252660 262840 275982 294770 315408 336880 353724 367976 394260 442155 459970 471632 505320 525680 551964 589540 689955 707448 735952 788520 884310 919940 1010640 1103928 1179080 1379910 1414896 1577040 1768620 1839880 2207856 2358160 2759820 3537240 3679760 5519640 7074480 11039280 27670481 55340962 83011443 110681924 138352405 166022886 193693367 221363848 276704810 332045772 387386734 415057215 442727696 553409620 581080101 664091544 774773468 830114430 968466835 1106819240 1162160202 1328183088 1549546936 1660228860 1936933670 2213638480 2324320404 2905400505 3099093872 3320457720 3873867340 4648640808 5810801010 6640915440 7747734680 9297281616 11621602020 15495469360 23243204040 46486408080