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11720144475 = 3352132575197
BaseRepresentation
bin10101110101001001…
…10011011001011011
31010020210112000202000
422322210303121123
5143000324110400
65214551212043
7563302404264
oct127244633133
933223460660
1011720144475
114a74797016
122331077023
13114a19ab40
147d27ad96b
15488de0600
hex2ba93365b

11720144475 has 96 divisors (see below), whose sum is σ = 23281218240. Its totient is φ = 5746360320.

The previous prime is 11720144411. The next prime is 11720144561. The reversal of 11720144475 is 57444102711.

11720144475 is a `hidden beast` number, since 1 + 1 + 7 + 201 + 4 + 447 + 5 = 666.

It is not a de Polignac number, because 11720144475 - 26 = 11720144411 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2252577 + ... + 2257773.

It is an arithmetic number, because the mean of its divisors is an integer number (242512690).

Almost surely, 211720144475 is an apocalyptic number.

11720144475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11720144475 is a deficient number, since it is larger than the sum of its proper divisors (11561073765).

11720144475 is a wasteful number, since it uses less digits than its factorization.

11720144475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 11720144475 in words is "eleven billion, seven hundred twenty million, one hundred forty-four thousand, four hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 195 225 257 325 351 585 675 771 975 1285 1755 2313 2925 3341 3855 5197 6425 6939 8775 10023 11565 15591 16705 19275 25985 30069 34695 46773 50115 57825 67561 77955 83525 90207 129925 140319 150345 173475 202683 233865 250575 337805 389775 451035 608049 701595 751725 1013415 1169325 1335629 1689025 1824147 2255175 3040245 3507975 4006887 5067075 6678145 9120735 12020661 15201225 17363177 20034435 33390725 36061983 45603675 52089531 60103305 86815885 100172175 156268593 180309915 260447655 300516525 434079425 468805779 781342965 901549575 1302238275 2344028895 3906714825 11720144475