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19111110144 = 29372318191
BaseRepresentation
bin10001110011000111…
…000110011000000000
31211022212220222121020
4101303013012120000
5303114421011034
612440213225440
71244406520200
oct216307063000
954285828536
1019111110144
1181177a5a05
123854332280
131a574a11c9
14cd421c400
1576cbd6249
hex4731c6600

19111110144 has 240 divisors, whose sum is σ = 61143515136. Its totient is φ = 5283532800.

The previous prime is 19111110143. The next prime is 19111110163. The reversal of 19111110144 is 44101111191.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19111110143) 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 23 ways as a sum of consecutive naturals, for example, 2329089 + ... + 2337279.

Almost surely, 219111110144 is an apocalyptic number.

19111110144 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 19111110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30571757568).

19111110144 is an abundant number, since it is smaller than the sum of its proper divisors (42032404992).

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

19111110144 is an equidigital number, since it uses as much as digits as its factorization.

19111110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 19111110144 in words is "nineteen billion, one hundred eleven million, one hundred ten thousand, one hundred forty-four".