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19930830192 = 2434713179941
BaseRepresentation
bin10010100011111110…
…000101010101110000
31220110000101002010000
4102203332011111300
5311304243031232
613053414510000
71303622155440
oct224376052560
956400332100
1019930830192
1184a8485799
123a42965300
131b58269c60
14d7103c120
157b9b5627c
hex4a3f85570

19930830192 has 400 divisors, whose sum is σ = 75181563072. Its totient is φ = 4946780160.

The previous prime is 19930830119. The next prime is 19930830193. The reversal of 19930830192 is 29103803991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19930830193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1999942 + ... + 2009882.

Almost surely, 219930830192 is an apocalyptic number.

19930830192 is a gapful number since it is divisible by the number (12) 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 19930830192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37590781536).

19930830192 is an abundant number, since it is smaller than the sum of its proper divisors (55250732880).

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

19930830192 is a wasteful number, since it uses less digits than its factorization.

19930830192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998 (or 9983 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 19930830192 in words is "nineteen billion, nine hundred thirty million, eight hundred thirty thousand, one hundred ninety-two".