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16112540420460 = 223251174021109937
BaseRepresentation
bin1110101001110111111000…
…1111111000100101101100
32010001100021122102111211100
43222131332033320211230
54102441440321423320
654133555431523100
73252043525553541
oct352357617704554
963040248374740
1016112540420460
115152321018020
121982875229490
138cb5380c7693
143d9bcb674bc8
151ce1ce035790
hexea77e3f896c

16112540420460 has 144 divisors (see below), whose sum is σ = 53319066327072. Its totient is φ = 3905982105600.

The previous prime is 16112540420441. The next prime is 16112540420521. The reversal of 16112540420460 is 6402404521161.

16112540420460 is a `hidden beast` number, since 1 + 6 + 1 + 12 + 540 + 42 + 0 + 4 + 60 = 666.

It is a super-2 number, since 2×161125404204602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146506612 + ... + 146616548.

It is an arithmetic number, because the mean of its divisors is an integer number (370271293938).

Almost surely, 216112540420460 is an apocalyptic number.

16112540420460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16112540420460 is an abundant number, since it is smaller than the sum of its proper divisors (37206525906612).

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

16112540420460 is a wasteful number, since it uses less digits than its factorization.

16112540420460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183984 (or 183979 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 16112540420460 in words is "sixteen trillion, one hundred twelve billion, five hundred forty million, four hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 74021 109937 148042 219874 222063 296084 329811 370105 439748 444126 549685 659622 666189 740210 814231 888252 989433 1099370 1110315 1209307 1319244 1332378 1480420 1628462 1649055 1978866 2198740 2220630 2418614 2442693 2664756 3256924 3298110 3330945 3627921 3957732 4071155 4441260 4837228 4885386 4947165 6046535 6596220 6661890 7255842 7328079 8142310 9770772 9894330 10883763 12093070 12213465 13323780 14511684 14656158 16284620 18139605 19788660 21767526 24186140 24426930 29312316 36279210 36640395 43535052 48853860 54418815 72558420 73280790 108837630 146561580 217675260 8137646677 16275293354 24412940031 32550586708 40688233385 48825880062 73238820093 81376466770 89514113447 97651760124 122064700155 146477640186 162752933540 179028226894 244129400310 268542340341 292955280372 358056453788 366194100465 447570567235 488258800620 537084680682 732388200930 805627021023 895141134470 1074169361364 1342711701705 1464776401860 1611254042046 1790282268940 2685423403410 3222508084092 4028135105115 5370846806820 8056270210230 16112540420460