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19104924384 = 253573131929
BaseRepresentation
bin10001110010101111…
…100000001011100000
31211022110021201100000
4101302233200023200
5303111330040014
612435432500000
71244303115000
oct216257401340
954273251300
1019104924384
118114260507
12385224a600
131a561167b0
14cd348c000
1576c3b3509
hex472be02e0

19104924384 has 1152 divisors, whose sum is σ = 77051520000. Its totient is φ = 4608866304.

The previous prime is 19104924379. The next prime is 19104924437. The reversal of 19104924384 is 48342940191.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 658790482 + ... + 658790510.

It is an arithmetic number, because the mean of its divisors is an integer number (66885000).

Almost surely, 219104924384 is an apocalyptic number.

19104924384 is a gapful number since it is divisible by the number (14) 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 19104924384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760000).

19104924384 is an abundant number, since it is smaller than the sum of its proper divisors (57946595616).

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

19104924384 is a wasteful number, since it uses less digits than its factorization.

19104924384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 1910 and 4924384, that added together give a palindrome (4926294).

The spelling of 19104924384 in words is "nineteen billion, one hundred four million, nine hundred twenty-four thousand, three hundred eighty-four".