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428345543824 = 24116736325097
BaseRepresentation
bin1100011101110110110…
…00100100110010010000
31111221122010201012011021
412032323120210302100
524004222424400244
6524440151325224
742642542022322
oct6167330446220
91457563635137
10428345543824
1115572998aa80
126b024080814
1331515011b93
1416a369bd612
15b220168284
hex63bb624c90

428345543824 has 40 divisors (see below), whose sum is σ = 918879679008. Its totient is φ = 191796506880.

The previous prime is 428345543819. The next prime is 428345543929.

428345543824 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4283455438243 (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18150757 + ... + 18174340.

Almost surely, 2428345543824 is an apocalyptic number.

428345543824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428345543824 is an abundant number, since it is smaller than the sum of its proper divisors (490534135184).

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

428345543824 is a wasteful number, since it uses less digits than its factorization.

428345543824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36325183 (or 36325177 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 52.

The spelling of 428345543824 in words is "four hundred twenty-eight billion, three hundred forty-five million, five hundred forty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1474 2948 5896 11792 36325097 72650194 145300388 290600776 399576067 581201552 799152134 1598304268 2433781499 3196608536 4867562998 6393217072 9735125996 19470251992 26771596489 38940503984 53543192978 107086385956 214172771912 428345543824