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428493199824 = 2434477034627
BaseRepresentation
bin1100011110001000010…
…11110101100111010000
31111222000102112220010000
412033010023311213100
524010023224343244
6524502544210000
742646314050304
oct6170413654720
91458012486100
10428493199824
111557a5271128
126b065609900
133153979cbb1
1416a4c457d04
15b22d0d3169
hex63c42f59d0

428493199824 has 100 divisors (see below), whose sum is σ = 1266570702144. Its totient is φ = 139792087872.

The previous prime is 428493199811. The next prime is 428493199847. The reversal of 428493199824 is 428991394824.

428493199824 is a `hidden beast` number, since 4 + 28 + 493 + 19 + 98 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3456402 + ... + 3578225.

Almost surely, 2428493199824 is an apocalyptic number.

It is an amenable number.

428493199824 is an abundant number, since it is smaller than the sum of its proper divisors (838077502320).

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

428493199824 is a wasteful number, since it uses less digits than its factorization.

428493199824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034694 (or 7034679 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 428493199824 in words is "four hundred twenty-eight billion, four hundred ninety-three million, one hundred ninety-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 282 324 376 423 432 564 648 752 846 1128 1269 1296 1692 2256 2538 3384 3807 5076 6768 7614 10152 15228 20304 30456 60912 7034627 14069254 21103881 28138508 42207762 56277016 63311643 84415524 112554032 126623286 168831048 189934929 253246572 330627469 337662096 379869858 506493144 569804787 661254938 759739716 991882407 1012986288 1139609574 1322509876 1519479432 1983764814 2279219148 2645019752 2975647221 3038958864 3967529628 4558438296 5290039504 5951294442 7935059256 8926941663 9116876592 11902588884 15870118512 17853883326 23805177768 26780824989 35707766652 47610355536 53561649978 71415533304 107123299956 142831066608 214246599912 428493199824