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56243297115360 = 25325172297520307
BaseRepresentation
bin11001100100111001010011…
…01111101101110011100000
321101010210210002010212000200
430302130221233231303200
524332442233030142420
6315341451453545200
714563305222326325
oct1462345157556340
9241123702125020
1056243297115360
1116a14714a64303
1263843b24a5200
13254c949266814
14dc6293910b4c
1567803d236b90
hex332729bedce0

56243297115360 has 144 divisors (see below), whose sum is σ = 203220266283216. Its totient is φ = 14115964760064.

The previous prime is 56243297115359. The next prime is 56243297115463. The reversal of 56243297115360 is 6351179234265.

56243297115360 is a `hidden beast` number, since 5 + 6 + 2 + 4 + 3 + 2 + 97 + 11 + 536 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56243297115297 and 56243297115306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1148735674 + ... + 1148784633.

It is an arithmetic number, because the mean of its divisors is an integer number (1411251849189).

Almost surely, 256243297115360 is an apocalyptic number.

It is an amenable number.

56243297115360 is an abundant number, since it is smaller than the sum of its proper divisors (146976969167856).

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

56243297115360 is a wasteful number, since it uses less digits than its factorization.

56243297115360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297520345 (or 2297520334 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 56243297115360 in words is "fifty-six trillion, two hundred forty-three billion, two hundred ninety-seven million, one hundred fifteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 2297520307 4595040614 6892560921 9190081228 11487601535 13785121842 18380162456 20677682763 22975203070 27570243684 34462804605 36760324912 39057845219 41355365526 45950406140 55140487368 68925609210 73520649824 78115690438 82710731052 91900812280 103388413815 110280974736 117173535657 137851218420 156231380876 165421462104 183801624560 195289226095 206776827630 220561949472 234347071314 275702436840 312462761752 330842924208 351520606971 367603249120 390578452190 413553655260 468694142628 551404873680 585867678285 624925523504 661685848416 703041213942 781156904380 827107310520 937388285256 1102809747360 1171735356570 1249851047008 1406082427884 1562313808760 1654214621040 1757603034855 1874776570512 2343470713140 2812164855768 3124627617520 3308429242080 3515206069710 3749553141024 4686941426280 5624329711536 6249255235040 7030412139420 9373882852560 11248659423072 14060824278840 18747765705120 28121648557680 56243297115360