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10024424208 = 2432371881461
BaseRepresentation
bin10010101011000000…
…01001001100010000
3221212121201111211200
421111200021030100
5131012223033313
64334414111200
7503262125361
oct112540111420
927777644750
1010024424208
114284587307
121b391ab500
13c39a8c576
146b14bdb68
153da0d4b73
hex255809310

10024424208 has 60 divisors (see below), whose sum is σ = 28812709068. Its totient is φ = 3251162880.

The previous prime is 10024424197. The next prime is 10024424227. The reversal of 10024424208 is 80242442001.

10024424208 is a `hidden beast` number, since 10 + 0 + 2 + 442 + 4 + 208 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7692693264 + 2331730944 = 87708^2 + 48288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 935403 + ... + 946058.

Almost surely, 210024424208 is an apocalyptic number.

10024424208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10024424208 is an abundant number, since it is smaller than the sum of its proper divisors (18788284860).

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

10024424208 is a wasteful number, since it uses less digits than its factorization.

10024424208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881512 (or 1881503 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10024424208 its reverse (80242442001), we get a palindrome (90266866209).

The spelling of 10024424208 in words is "ten billion, twenty-four million, four hundred twenty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 1881461 3762922 5644383 7525844 11288766 15051688 16933149 22577532 30103376 33866298 45155064 67732596 69614057 90310128 135465192 139228114 208842171 270930384 278456228 417684342 556912456 626526513 835368684 1113824912 1253053026 1670737368 2506106052 3341474736 5012212104 10024424208