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19122445056 = 283113131439
BaseRepresentation
bin10001110011110010…
…010101101100000000
31211100200020212011210
4101303302111230000
5303130321220211
612441300210120
71244605046451
oct216362255400
954320225153
1019122445056
118123138000
123858099940
131a5993c560
14cd592d128
1576dbc49a6
hex473c95b00

19122445056 has 288 divisors, whose sum is σ = 60327106560. Its totient is φ = 5345218560.

The previous prime is 19122445049. The next prime is 19122445079. The reversal of 19122445056 is 65054422191.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13287985 + ... + 13289423.

It is an arithmetic number, because the mean of its divisors is an integer number (209469120).

Almost surely, 219122445056 is an apocalyptic number.

19122445056 is a gapful number since it is divisible by the number (16) 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 19122445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30163553280).

19122445056 is an abundant number, since it is smaller than the sum of its proper divisors (41204661504).

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

19122445056 is a wasteful number, since it uses less digits than its factorization.

19122445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 19122445056 in words is "nineteen billion, one hundred twenty-two million, four hundred forty-five thousand, fifty-six".