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10803741696 = 2103211197179
BaseRepresentation
bin10100000111111010…
…00000010000000000
31000212221010221110100
422003331000100000
5134111224213241
64544013402400
7531504201126
oct120375002000
930787127410
1010803741696
114644481050
122116199400
131032380487
14746bc3916
154337239b6
hex283f40400

10803741696 has 528 divisors, whose sum is σ = 36787046400. Its totient is φ = 3019161600.

The previous prime is 10803741679. The next prime is 10803741709. The reversal of 10803741696 is 69614730801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136756185 + ... + 136756263.

Almost surely, 210803741696 is an apocalyptic number.

10803741696 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 10803741696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18393523200).

10803741696 is an abundant number, since it is smaller than the sum of its proper divisors (25983304704).

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

10803741696 is a wasteful number, since it uses less digits than its factorization.

10803741696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10803741696 in words is "ten billion, eight hundred three million, seven hundred forty-one thousand, six hundred ninety-six".