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19077479424 = 2103317371097
BaseRepresentation
bin10001110001000110…
…110011110000000000
31211020112122100221000
4101301012303300000
5303032313320144
612433012332000
71243520620353
oct216106636000
954215570830
1019077479424
1180aa815723
123845014000
131a50527783
14ccd98629a
15769c91769
hex4711b3c00

19077479424 has 352 divisors, whose sum is σ = 61494500160. Its totient is φ = 5818023936.

The previous prime is 19077479417. The next prime is 19077479429. The reversal of 19077479424 is 42497477091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19077479429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17390044 + ... + 17391140.

Almost surely, 219077479424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19077479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30747250080).

19077479424 is an abundant number, since it is smaller than the sum of its proper divisors (42417020736).

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

19077479424 is a wasteful number, since it uses less digits than its factorization.

19077479424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

It can be divided in two parts, 19077 and 479424, that added together give a triangular number (498501 = T998).

The spelling of 19077479424 in words is "nineteen billion, seventy-seven million, four hundred seventy-nine thousand, four hundred twenty-four".