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10049282496 = 26371161107
BaseRepresentation
bin10010101101111101…
…11110000111000000
3221221100111110000000
421112332332013000
5131040104014441
64341103000000
7504013330461
oct112676760700
927840443000
1010049282496
114297615750
121b45599000
13c41c84106
146b4910d68
153dc3952b6
hex256fbe1c0

10049282496 has 448 divisors, whose sum is σ = 33471429120. Its totient is φ = 2967321600.

The previous prime is 10049282483. The next prime is 10049282513. The reversal of 10049282496 is 69428294001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93918475 + ... + 93918581.

Almost surely, 210049282496 is an apocalyptic number.

10049282496 is a gapful number since it is divisible by the number (16) 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 10049282496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735714560).

10049282496 is an abundant number, since it is smaller than the sum of its proper divisors (23422146624).

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

10049282496 is an equidigital number, since it uses as much as digits as its factorization.

10049282496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10049282496 in words is "ten billion, forty-nine million, two hundred eighty-two thousand, four hundred ninety-six".