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12430654164480 = 29357322172257
BaseRepresentation
bin1011010011100011110010…
…1110011100111000000000
31122000100200122212101010110
42310320330232130320000
53112130434431230410
642234321431231320
72422041125012316
oct264707456347000
948010618771113
1012430654164480
113a628a1233732
121489188b18540
136c2289aa4696
1430d90b0320b6
1516853aaae720
hexb4e3cb9ce00

12430654164480 has 160 divisors (see below), whose sum is σ = 40283622602784. Its totient is φ = 3269432180736.

The previous prime is 12430654164473. The next prime is 12430654164497. The reversal of 12430654164480 is 8446145603421.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10525489 + ... + 11646768.

Almost surely, 212430654164480 is an apocalyptic number.

12430654164480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12430654164480 is an abundant number, since it is smaller than the sum of its proper divisors (27852968438304).

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

12430654164480 is an equidigital number, since it uses as much as digits as its factorization.

12430654164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22172356 (or 22172340 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 12430654164480 in words is "twelve trillion, four hundred thirty billion, six hundred fifty-four million, one hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 256 292 320 365 384 438 480 512 584 640 730 768 876 960 1095 1168 1280 1460 1536 1752 1920 2190 2336 2560 2920 3504 3840 4380 4672 5840 7008 7680 8760 9344 11680 14016 17520 18688 23360 28032 35040 37376 46720 56064 70080 93440 112128 140160 186880 280320 560640 22172257 44344514 66516771 88689028 110861285 133033542 177378056 221722570 266067084 332583855 354756112 443445140 532134168 665167710 709512224 886890280 1064268336 1330335420 1419024448 1618574761 1773780560 2128536672 2660670840 2838048896 3237149522 3547561120 4257073344 4855724283 5321341680 5676097792 6474299044 7095122240 8092873805 8514146688 9711448566 10642683360 11352195584 12948598088 14190244480 16185747610 17028293376 19422897132 21285366720 24278621415 25897196176 28380488960 32371495220 34056586752 38845794264 42570733440 48557242830 51794392352 56760977920 64742990440 77691588528 85141466880 97114485660 103588784704 129485980880 155383177056 170282933760 194228971320 207177569408 258971961760 310766354112 388457942640 414355138816 517943923520 621532708224 776915885280 828710277632 1035887847040 1243065416448 1553831770560 2071775694080 2486130832896 3107663541120 4143551388160 6215327082240 12430654164480