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476680311343104 = 2113117053153281
BaseRepresentation
bin110110001100010011100100…
…0101000010000100000000000
32022111210012012111020102202220
41230120213020220100200000
5444434412234200434404
64405451524550411040
7202256005326051201
oct15430471050204000
92274705174212686
10476680311343104
11128980a917a54a0
1245567a07960a80
13175c99b6a1662b
14859d6433a55a8
153a198373e84d9
hex1b189c8a10800

476680311343104 has 96 divisors (see below), whose sum is σ = 1386367809109920. Its totient is φ = 144448579174400.

The previous prime is 476680311343081. The next prime is 476680311343111. The reversal of 476680311343104 is 401343113086674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3526509057 + ... + 3526644224.

It is an arithmetic number, because the mean of its divisors is an integer number (14441331344895).

Almost surely, 2476680311343104 is an apocalyptic number.

476680311343104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

476680311343104 is an abundant number, since it is smaller than the sum of its proper divisors (909687497766816).

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

476680311343104 is a wasteful number, since it uses less digits than its factorization.

476680311343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7053153317 (or 7053153297 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 476680311343104 in words is "four hundred seventy-six trillion, six hundred eighty billion, three hundred eleven million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 11264 16896 22528 33792 67584 7053153281 14106306562 21159459843 28212613124 42318919686 56425226248 77584686091 84637839372 112850452496 155169372182 169275678744 225700904992 232754058273 310338744364 338551357488 451401809984 465508116546 620677488728 677102714976 902803619968 931016233092 1241354977456 1354205429952 1805607239936 1862032466184 2482709954912 2708410859904 3611214479872 3724064932368 4965419909824 5416821719808 7222428959744 7448129864736 9930839819648 10833643439616 14444857919488 14896259729472 19861679639296 21667286879232 29792519458944 39723359278592 43334573758464 59585038917888 79446718557184 119170077835776 158893437114368 238340155671552 476680311343104