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428503778404 = 2213217214812
BaseRepresentation
bin1100011110001001101…
…00001100010001100100
31111222001011110100012021
412033010310030101210
524010033431402104
6524504003032524
742646503006532
oct6170464142144
91458034410167
10428503778404
11155800236a59
126b06906b744
133153ba34c00
1416a4da0d152
15b22dec2754
hex63c4d0c464

428503778404 has 81 divisors (see below), whose sum is σ = 863159322081. Its totient is φ = 186011704320.

The previous prime is 428503778377. The next prime is 428503778459. The reversal of 428503778404 is 404877305824.

The square root of 428503778404 is 654602.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 284620116004 + 143883662400 = 533498^2 + 379320^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 289333344 + ... + 289334824.

Almost surely, 2428503778404 is an apocalyptic number.

428503778404 is the 654602-nd square number.

It is an amenable number.

428503778404 is an abundant number, since it is smaller than the sum of its proper divisors (434655543677).

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

428503778404 is a wasteful number, since it uses less digits than its factorization.

428503778404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 52.

The spelling of 428503778404 in words is "four hundred twenty-eight billion, five hundred three million, seven hundred seventy-eight thousand, four hundred four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 442 578 676 884 1156 1481 2873 2962 3757 5746 5924 7514 11492 15028 19253 25177 38506 48841 50354 77012 97682 100708 195364 250289 327301 428009 500578 654602 856018 1001156 1309204 1712036 2193361 4254913 4386722 5564117 8509826 8773444 11128234 17019652 22256468 28513693 37287137 57027386 72333521 74574274 114054772 144667042 149148548 289334084 370678009 484732781 633881329 741356018 969465562 1267762658 1482712036 1938931124 2535525316 6301526153 8240457277 12603052306 16480914554 25206104612 32961829108 107125944601 214251889202 428503778404