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10283579090112 = 2632314312
BaseRepresentation
bin1001010110100101010100…
…0101000010010011000000
31100102002201022022121221210
42111221111011002103000
52321441232221340422
633512113325050120
72110651451006046
oct225512505022300
940362638277853
1010283579090112
113305272338709
1211a10399b6940
13597977c4acb3
14277a29454396
1512c775bb710c
hex95a551424c0

10283579090112 has 42 divisors (see below), whose sum is σ = 27208753910044. Its totient is φ = 3427844885120.

The previous prime is 10283579090101. The next prime is 10283579090149. The reversal of 10283579090112 is 21109097538201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44319037 + ... + 44550467.

Almost surely, 210283579090112 is an apocalyptic number.

10283579090112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10283579090112 is an abundant number, since it is smaller than the sum of its proper divisors (16925174819932).

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

10283579090112 is an frugal number, since it uses more digits than its factorization.

10283579090112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462877 (or 231436 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

Multiplying 10283579090112 by its sum of digits (48), we get a square (493611796325376 = 222173762).

10283579090112 divided by its sum of digits (48) gives a square (214241231044 = 4628622).

The spelling of 10283579090112 in words is "ten trillion, two hundred eighty-three billion, five hundred seventy-nine million, ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 231431 462862 694293 925724 1388586 1851448 2777172 3702896 5554344 7405792 11108688 14811584 22217376 44434752 53560307761 107120615522 160680923283 214241231044 321361846566 428482462088 642723693132 856964924176 1285447386264 1713929848352 2570894772528 3427859696704 5141789545056 10283579090112