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623228068352 = 2913922512
BaseRepresentation
bin10010001000110110100…
…10011010001000000000
32012120122211120012001002
421010123102122020000
540202332341141402
61154150152231132
763012113113631
oct11043322321000
92176584505032
10623228068352
11220344aa70aa
12a095199b4a8
1346a02050656
142224317d888
15113291cd602
hex911b49a200

623228068352 has 90 divisors (see below), whose sum is σ = 1259278865559. Its totient is φ = 308139648000.

The previous prime is 623228068303. The next prime is 623228068361. The reversal of 623228068352 is 253860822326.

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 only one way, i.e., 311614034176 + 311614034176 = 558224^2 + 558224^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=558224.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 623228068297 and 623228068306.

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 8 ways as a sum of consecutive naturals, for example, 2482980227 + ... + 2482980477.

Almost surely, 2623228068352 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 623228068352

623228068352 is an abundant number, since it is smaller than the sum of its proper divisors (636050797207).

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

623228068352 is an frugal number, since it uses more digits than its factorization.

623228068352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 47.

The spelling of 623228068352 in words is "six hundred twenty-three billion, two hundred twenty-eight million, sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 139 251 256 278 502 512 556 1004 1112 2008 2224 4016 4448 8032 8896 16064 17792 19321 32128 34889 35584 38642 63001 64256 69778 71168 77284 126002 128512 139556 154568 252004 279112 309136 504008 558224 618272 1008016 1116448 1236544 2016032 2232896 2473088 4032064 4465792 4849571 4946176 8064128 8757139 8931584 9699142 9892352 16128256 17514278 17863168 19398284 32256512 35028556 38796568 70057112 77593136 140114224 155186272 280228448 310372544 560456896 620745088 1120913792 1217242321 1241490176 2241827584 2434484642 2482980352 4483655168 4868969284 9737938568 19475877136 38951754272 77903508544 155807017088 311614034176 623228068352