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12788328624 = 2432320175743
BaseRepresentation
bin10111110100011111…
…00110100010110000
31020000020111101220220
423322033212202300
5202142303003444
65512550133040
7631622666631
oct137217464260
936006441826
1012788328624
115472750635
12258a951180
13128a58c176
148945c9888
154eca8e619
hex2fa3e68b0

12788328624 has 80 divisors (see below), whose sum is σ = 34495982592. Its totient is φ = 4074706944.

The previous prime is 12788328577. The next prime is 12788328629. The reversal of 12788328624 is 42682388721.

It is not an unprimeable number, because it can be changed into a prime (12788328629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2223897 + ... + 2229639.

Almost surely, 212788328624 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 12788328624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17247991296).

12788328624 is an abundant number, since it is smaller than the sum of its proper divisors (21707653968).

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

12788328624 is a wasteful number, since it uses less digits than its factorization.

12788328624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7788 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The spelling of 12788328624 in words is "twelve billion, seven hundred eighty-eight million, three hundred twenty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 2017 4034 5743 6051 8068 11486 12102 16136 17229 22972 24204 32272 34458 45944 46391 48408 68916 91888 92782 96816 132089 137832 139173 185564 264178 275664 278346 371128 396267 528356 556692 742256 792534 1056712 1113384 1585068 2113424 2226768 3170136 6340272 11583631 23167262 34750893 46334524 69501786 92669048 139003572 185338096 266423513 278007144 532847026 556014288 799270539 1065694052 1598541078 2131388104 3197082156 4262776208 6394164312 12788328624