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12454435681160 = 2351147743592873
BaseRepresentation
bin1011010100111100011000…
…1101101111001110001000
31122002122002000222121001112
42311033012031233032020
53113023141013244120
642253253323505452
72423542345404224
oct265170615571610
948078060877045
1012454435681160
113a7199528a150
121491905388288
136c45a9a44745
14310b25637784
15168e7d7e4bc5
hexb53c636f388

12454435681160 has 64 divisors (see below), whose sum is σ = 30570670356480. Its totient is φ = 4528783203840.

The previous prime is 12454435681159. The next prime is 12454435681241. The reversal of 12454435681160 is 6118653445421.

It is a super-2 number, since 2×124544356811602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12454435681099 and 12454435681108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20710484 + ... + 21303356.

It is an arithmetic number, because the mean of its divisors is an integer number (477666724320).

Almost surely, 212454435681160 is an apocalyptic number.

12454435681160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12454435681160 is an abundant number, since it is smaller than the sum of its proper divisors (18116234675320).

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

12454435681160 is a wasteful number, since it uses less digits than its factorization.

12454435681160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640638 (or 640634 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 50.

The spelling of 12454435681160 in words is "twelve trillion, four hundred fifty-four billion, four hundred thirty-five million, six hundred eighty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 47743 95486 190972 238715 381944 477430 525173 592873 954860 1050346 1185746 1909720 2100692 2371492 2625865 2964365 4201384 4742984 5251730 5928730 6521603 10503460 11857460 13043206 21006920 23714920 26086412 32608015 52172824 65216030 130432060 260864120 28305535639 56611071278 113222142556 141527678195 226444285112 283055356390 311360892029 566110712780 622721784058 1132221425560 1245443568116 1556804460145 2490887136232 3113608920290 6227217840580 12454435681160