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19066199040 = 2103357171961
BaseRepresentation
bin10001110000011011…
…110001110000000000
31211012202102021011000
4101300123301300000
5303021421332130
612431530452000
71243323006060
oct216033616000
954182367130
1019066199040
1180a4410599
123841294000
131a4b0a81a5
14ccc28b3a0
15768cb4260
hex4706f1c00

19066199040 has 1408 divisors, whose sum is σ = 87722956800. Its totient is φ = 3822059520.

The previous prime is 19066199027. The next prime is 19066199051. The reversal of 19066199040 is 4099166091.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 312560610 + ... + 312560670.

Almost surely, 219066199040 is an apocalyptic number.

19066199040 is a gapful number since it is divisible by the number (10) 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 19066199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43861478400).

19066199040 is an abundant number, since it is smaller than the sum of its proper divisors (68656757760).

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

19066199040 is a wasteful number, since it uses less digits than its factorization.

19066199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

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

The spelling of 19066199040 in words is "nineteen billion, sixty-six million, one hundred ninety-nine thousand, forty".