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450153153420 = 2235171789246689
BaseRepresentation
bin1101000110011110011…
…10000000001110001100
31121000220221120112121120
412203033032000032030
524333403201402140
6542444132200540
744344133446125
oct6431716001614
91530827515546
10450153153420
111639aa7a0923
12732ab469150
13335ac042399
1417b04d9d04c
15ba999421d0
hex68cf38038c

450153153420 has 96 divisors (see below), whose sum is σ = 1335323102400. Its totient is φ = 112916004864.

The previous prime is 450153153383. The next prime is 450153153421. The reversal of 450153153420 is 24351351054.

It is not an unprimeable number, because it can be changed into a prime (450153153421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701436 + ... + 1948124.

It is an arithmetic number, because the mean of its divisors is an integer number (13909615650).

Almost surely, 2450153153420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450153153420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667661551200).

450153153420 is an abundant number, since it is smaller than the sum of its proper divisors (885169948980).

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

450153153420 is a wasteful number, since it uses less digits than its factorization.

450153153420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248507 (or 248505 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 450153153420 in words is "four hundred fifty billion, one hundred fifty-three million, one hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1789 3578 5367 7156 8945 10734 17890 21468 26835 30413 35780 53670 60826 91239 107340 121652 152065 182478 246689 304130 364956 456195 493378 608260 740067 912390 986756 1233445 1480134 1824780 2466890 2960268 3700335 4193713 4933780 7400670 8387426 12581139 14801340 16774852 20968565 25162278 41937130 50324556 62905695 83874260 125811390 251622780 441326621 882653242 1323979863 1765306484 2206633105 2647959726 4413266210 5295919452 6619899315 7502552557 8826532420 13239798630 15005105114 22507657671 26479597260 30010210228 37512762785 45015315342 75025525570 90030630684 112538288355 150051051140 225076576710 450153153420