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19240917696 = 263271113217151
BaseRepresentation
bin10001111010110110…
…010001101011000000
31211122221011220002100
4101322312101223000
5303401133331241
612501131350400
71250544046650
oct217266215300
954587156070
1019240917696
118183aa6280
12388b8b2400
131a78350200
14d0756c360
157792c79b6
hex47ad91ac0

19240917696 has 1008 divisors, whose sum is σ = 79357045248. Its totient is φ = 4313088000.

The previous prime is 19240917671. The next prime is 19240917779. The reversal of 19240917696 is 69671904291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127423221 + ... + 127423371.

Almost surely, 219240917696 is an apocalyptic number.

19240917696 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 19240917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39678522624).

19240917696 is an abundant number, since it is smaller than the sum of its proper divisors (60116127552).

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

19240917696 is a wasteful number, since it uses less digits than its factorization.

19240917696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 19240917696 in words is "nineteen billion, two hundred forty million, nine hundred seventeen thousand, six hundred ninety-six".