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10224216513644 = 2273159199644937
BaseRepresentation
bin1001010011001000001011…
…0010110001110001101100
31100012102111020011021220112
42110302002302301301230
52320003143411414034
633424535031035152
72103450421305020
oct224620262616154
940172436137815
1010224216513644
11329207a74a361
12119163150bab8
135921a75905c3
14274bd74ca380
1512ae4e3c57ce
hex94c82cb1c6c

10224216513644 has 48 divisors (see below), whose sum is σ = 21465823733760. Its totient is φ = 4168586263680.

The previous prime is 10224216513631. The next prime is 10224216513661. The reversal of 10224216513644 is 44631561242201.

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 15 ways as a sum of consecutive naturals, for example, 99771257 + ... + 99873680.

It is an arithmetic number, because the mean of its divisors is an integer number (447204661120).

Almost surely, 210224216513644 is an apocalyptic number.

10224216513644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10224216513644 is an abundant number, since it is smaller than the sum of its proper divisors (11241607220116).

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

10224216513644 is a wasteful number, since it uses less digits than its factorization.

10224216513644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199645038 (or 199645036 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

Adding to 10224216513644 its reverse (44631561242201), we get a palindrome (54855777755845).

The spelling of 10224216513644 in words is "ten trillion, two hundred twenty-four billion, two hundred sixteen million, five hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 31 59 62 118 124 217 236 413 434 826 868 1652 1829 3658 7316 12803 25606 51212 199644937 399289874 798579748 1397514559 2795029118 5590058236 6188993047 11779051283 12377986094 23558102566 24755972188 43322951329 47116205132 82453358981 86645902658 164906717962 173291805316 329813435924 365150589773 730301179546 1460602359092 2556054128411 5112108256822 10224216513644