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4145221656 = 233417376291
BaseRepresentation
bin1111011100010011…
…0001000000011000
3101200212222002010000
43313010301000120
531442134043111
61523154253000
7204502542222
oct36704610030
911625862100
104145221656
111837962424
12978287160
13510a396a4
142b4757412
15193dadc56
hexf7131018

4145221656 has 80 divisors (see below), whose sum is σ = 12293459640. Its totient is φ = 1300458240.

The previous prime is 4145221573. The next prime is 4145221669. The reversal of 4145221656 is 6561225414.

4145221656 is a `hidden beast` number, since 41 + 452 + 2 + 165 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4145221656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 177130 + ... + 199161.

Almost surely, 24145221656 is an apocalyptic number.

It is an amenable number.

4145221656 is an abundant number, since it is smaller than the sum of its proper divisors (8148237984).

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

4145221656 is a wasteful number, since it uses less digits than its factorization.

4145221656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376326 (or 376313 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 4145221656 is about 64383.3958097893. The cubic root of 4145221656 is about 1606.3835672141.

The spelling of 4145221656 in words is "four billion, one hundred forty-five million, two hundred twenty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 376291 752582 1128873 1505164 2257746 3010328 3386619 4515492 6396947 6773238 9030984 10159857 12793894 13546476 19190841 20319714 25587788 27092952 30479571 38381682 40639428 51175576 57572523 60959142 76763364 81278856 115145046 121918284 153526728 172717569 230290092 243836568 345435138 460580184 518152707 690870276 1036305414 1381740552 2072610828 4145221656