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12453261391872 = 21132796518953
BaseRepresentation
bin1011010100111000000000…
…1110001011100000000000
31122002112001012100111222200
42311032000032023200000
53113013234404014442
642252541014433200
72423501266201260
oct265160016134000
948075035314880
1012453261391872
113a71442444234
121491638062800
136c4450682b02
14310a536bb7a0
15168e1068734c
hexb538038b800

12453261391872 has 144 divisors (see below), whose sum is σ = 41105492129520. Its totient is φ = 3558074646528.

The previous prime is 12453261391853. The next prime is 12453261391873. The reversal of 12453261391872 is 27819316235421.

12453261391872 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 3 + 2 + 613 + 9 + 18 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12453261391873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48130453 + ... + 48388500.

It is an arithmetic number, because the mean of its divisors is an integer number (285454806455).

Almost surely, 212453261391872 is an apocalyptic number.

12453261391872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12453261391872 is an abundant number, since it is smaller than the sum of its proper divisors (28652230737648).

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

12453261391872 is an equidigital number, since it uses as much as digits as its factorization.

12453261391872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96518988 (or 96518965 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12453261391872 in words is "twelve trillion, four hundred fifty-three billion, two hundred sixty-one million, three hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 32256 43008 64512 129024 96518953 193037906 289556859 386075812 579113718 675632671 772151624 868670577 1158227436 1351265342 1544303248 1737341154 2026898013 2316454872 2702530684 3088606496 3474682308 4053796026 4632909744 5405061368 6080694039 6177212992 6949364616 8107592052 9265819488 10810122736 12161388078 12354425984 13898729232 16215184104 18531638976 21620245472 24322776156 24708851968 27797458464 32430368208 37063277952 43240490944 48645552312 49417703936 55594916928 64860736416 74126555904 86480981888 97291104624 98835407872 111189833856 129721472832 148253111808 172961963776 194582209248 197670815744 222379667712 259442945664 296506223616 345923927552 389164418496 444759335424 518885891328 593012447232 691847855104 778328836992 889518670848 1037771782656 1383695710208 1556657673984 1779037341696 2075543565312 3113315347968 4151087130624 6226630695936 12453261391872