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4065630894675 = 335272110872
BaseRepresentation
bin111011001010011010011…
…111000011101001010011
3112101200002210210121001000
4323022122133003221103
51013102403002112200
612351420335513043
7566506060260300
oct73123237035123
915350083717030
104065630894675
111328251716199
12557b43688783
1323650600935c
14100ac59a00a7
1570b52c36300
hex3b29a7c3a53

4065630894675 has 108 divisors (see below), whose sum is σ = 8688880196760. Its totient is φ = 1858406487840.

The previous prime is 4065630894593. The next prime is 4065630894691. The reversal of 4065630894675 is 5764980365604.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4065630894675 is a `hidden beast` number, since 4 + 0 + 6 + 563 + 0 + 8 + 9 + 4 + 67 + 5 = 666.

It is not a de Polignac number, because 4065630894675 - 210 = 4065630893651 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 366696982 + ... + 366708068.

Almost surely, 24065630894675 is an apocalyptic number.

4065630894675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4065630894675 is an abundant number, since it is smaller than the sum of its proper divisors (4623249302085).

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

4065630894675 is an frugal number, since it uses more digits than its factorization.

4065630894675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22207 (or 11102 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 4065630894675 in words is "four trillion, sixty-five billion, six hundred thirty million, eight hundred ninety-four thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 135 147 175 189 225 245 315 441 525 675 735 945 1225 1323 1575 2205 3675 4725 6615 11025 11087 33075 33261 55435 77609 99783 166305 232827 277175 299349 388045 498915 543263 698481 831525 1164135 1496745 1629789 1940225 2095443 2494575 2716315 3492405 4889367 5820675 7483725 8148945 10477215 13581575 14668101 17462025 24446835 40744725 52386075 73340505 122234175 122921569 366702525 368764707 614607845 860450983 1106294121 1843823535 2581352949 3073039225 3318882363 4302254915 5531470605 6023156881 7744058847 9219117675 12906764745 16594411815 18069470643 21511274575 23232176541 27657353025 30115784405 38720294235 54208411929 64533823725 82972059075 90347353215 116160882705 150578922025 162625235787 193601471175 271042059645 451736766075 580804413525 813126178935 1355210298225 4065630894675