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10008242244 = 223271113172312
BaseRepresentation
bin10010101001000100…
…11010100001000100
3221211111021101100200
421110202122201010
5130444102222434
64333035210500
7503004440550
oct112442324104
927744241320
1010008242244
114276434590
121b338a6a30
13c36614c40
146ad2aa860
153d898a199
hex25489a844

10008242244 has 648 divisors, whose sum is σ = 37284496704. Its totient is φ = 2185574400.

The previous prime is 10008242219. The next prime is 10008242249. The reversal of 10008242244 is 44224280001.

It is not an unprimeable number, because it can be changed into a prime (10008242249) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 322846509 + ... + 322846539.

Almost surely, 210008242244 is an apocalyptic number.

10008242244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008242244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18642248352).

10008242244 is an abundant number, since it is smaller than the sum of its proper divisors (27276254460).

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

10008242244 is a wasteful number, since it uses less digits than its factorization.

10008242244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 84 counting only the distinct ones).

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

It can be divided in two parts, 10008 and 242244, that added together give a palindrome (252252).

The spelling of 10008242244 in words is "ten billion, eight million, two hundred forty-two thousand, two hundred forty-four".