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428010720260 = 22541601868493
BaseRepresentation
bin1100011101001110110…
…11010100110000000100
31111220202210200101120112
412032213123110300010
524003031221022020
6524343031052152
742631335044324
oct6164733246004
91456683611515
10428010720260
11155577991092
126ab4bb11058
1331490840726
1416a04343284
15b200a7b2c5
hex63a76d4c04

428010720260 has 48 divisors (see below), whose sum is σ = 922278096432. Its totient is φ = 166750464000.

The previous prime is 428010720259. The next prime is 428010720367. The reversal of 428010720260 is 62027010824.

It can be written as a sum of positive squares in 8 ways, for example, as 4136805124 + 423873915136 = 64318^2 + 651056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58574 + ... + 927066.

It is an arithmetic number, because the mean of its divisors is an integer number (19214127009).

Almost surely, 2428010720260 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 428010720260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461139048216).

428010720260 is an abundant number, since it is smaller than the sum of its proper divisors (494267376172).

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

428010720260 is a wasteful number, since it uses less digits than its factorization.

428010720260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869144 (or 869142 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 428010720260 in words is "four hundred twenty-eight billion, ten million, seven hundred twenty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 601 820 1202 2404 3005 6010 12020 24641 49282 98564 123205 246410 492820 868493 1736986 3473972 4342465 8684930 17369860 35608213 71216426 142432852 178041065 356082130 521964293 712164260 1043928586 2087857172 2609821465 5219642930 10439285860 21400536013 42801072026 85602144052 107002680065 214005360130 428010720260