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19128275712 = 283571331109
BaseRepresentation
bin10001110100001000…
…100101001100000000
31211101002020002100000
4101310020211030000
5303133314310322
612442025200000
71245005442450
oct216410451400
954332202300
1019128275712
11812645a727
12385a030000
131a5ac01450
14cd6609d60
1576e4773ac
hex474225300

19128275712 has 864 divisors, whose sum is σ = 73330216960. Its totient is φ = 4837294080.

The previous prime is 19128275701. The next prime is 19128275729. The reversal of 19128275712 is 21757282191.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175488714 + ... + 175488822.

Almost surely, 219128275712 is an apocalyptic number.

19128275712 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 19128275712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36665108480).

19128275712 is an abundant number, since it is smaller than the sum of its proper divisors (54201941248).

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

19128275712 is a wasteful number, since it uses less digits than its factorization.

19128275712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 165 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 19128275712 in words is "nineteen billion, one hundred twenty-eight million, two hundred seventy-five thousand, seven hundred twelve".