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107509063424 = 287311935287
BaseRepresentation
bin110010000100000001…
…0100001111100000000
3101021111111021021202212
41210020002201330000
53230134310012144
6121220004201252
710524113650460
oct1441002417400
9337444237685
10107509063424
114165a077644
1218a04699228
13a1a4421c39
1452bc451ba0
152be35ac49e
hex19080a1f00

107509063424 has 72 divisors (see below), whose sum is σ = 253166635008. Its totient is φ = 44588989440.

The previous prime is 107509063373. The next prime is 107509063451. The reversal of 107509063424 is 424360905701.

It is a super-3 number, since 3×1075090634243 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 912092 + ... + 1023195.

It is an arithmetic number, because the mean of its divisors is an integer number (3516203264).

Almost surely, 2107509063424 is an apocalyptic number.

107509063424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107509063424 is an abundant number, since it is smaller than the sum of its proper divisors (145657571584).

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

107509063424 is an equidigital number, since it uses as much as digits as its factorization.

107509063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935341 (or 1935327 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 107509063424 in words is "one hundred seven billion, five hundred nine million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 3472 3968 6944 7936 13888 27776 55552 1935287 3870574 7741148 13547009 15482296 27094018 30964592 54188036 59993897 61929184 108376072 119987794 123858368 216752144 239975588 247716736 419957279 433504288 479951176 495433472 839914558 867008576 959902352 1679829116 1734017152 1919804704 3359658232 3468034304 3839609408 6719316464 7679218816 13438632928 15358437632 26877265856 53754531712 107509063424