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454722253952 = 2719231372
BaseRepresentation
bin1101001110111111000…
…11101111010010000000
31121110201101010220020012
412213133203233102000
524422232344111302
6544521352004052
744565304246001
oct6473743572200
91543641126205
10454722253952
1116593494876a
1274165690628
1333b59831175
1418019b351a8
15bc65b2ea52
hex69df8ef480

454722253952 has 72 divisors (see below), whose sum is σ = 956384784585. Its totient is φ = 215326089216.

The previous prime is 454722253901. The next prime is 454722253981. The reversal of 454722253952 is 259352227454.

It is a happy number.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 243585679936 + 211136574016 = 493544^2 + 459496^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=476824.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 454722253952.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144952928 + ... + 144956064.

Almost surely, 2454722253952 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 454722253952

454722253952 is an abundant number, since it is smaller than the sum of its proper divisors (501662530633).

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

454722253952 is an frugal number, since it uses more digits than its factorization.

454722253952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326 (or 3158 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 50.

Multiplying 454722253952 by its sum of digits (50), we get a square (22736112697600 = 47682402).

The spelling of 454722253952 in words is "four hundred fifty-four billion, seven hundred twenty-two million, two hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 722 1216 1444 2432 2888 3137 5776 6274 11552 12548 23104 25096 46208 50192 59603 100384 119206 200768 238412 401536 476824 953648 1132457 1907296 2264914 3814592 4529828 7629184 9059656 9840769 18119312 19681538 36238624 39363076 72477248 78726152 144954496 157452304 186974611 314904608 373949222 629809216 747898444 1259618432 1495796888 2991593776 3552517609 5983187552 7105035218 11966375104 14210070436 23932750208 28420140872 56840281744 113680563488 227361126976 454722253952