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19969907616 = 25331729173271
BaseRepresentation
bin10010100110010011…
…001001101110100000
31220112201220102021000
4102212103021232200
5311344244020431
613101332232000
71304605262001
oct224623115640
956481812230
1019969907616
11851854618a
123a53a6b600
131b6339c8a9
14d762d11a8
157bd2c49e6
hex4a64c9ba0

19969907616 has 384 divisors, whose sum is σ = 64403942400. Its totient is φ = 5991874560.

The previous prime is 19969907603. The next prime is 19969907623. The reversal of 19969907616 is 61670996991.

19969907616 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 9 + 9 + 0 + 7 + 616 = 666.

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, 73689561 + ... + 73689831.

It is an arithmetic number, because the mean of its divisors is an integer number (167718600).

Almost surely, 219969907616 is an apocalyptic number.

19969907616 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 19969907616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32201971200).

19969907616 is an abundant number, since it is smaller than the sum of its proper divisors (44434034784).

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

19969907616 is a wasteful number, since it uses less digits than its factorization.

19969907616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 63.

The spelling of 19969907616 in words is "nineteen billion, nine hundred sixty-nine million, nine hundred seven thousand, six hundred sixteen".