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19695981144 = 233741297719
BaseRepresentation
bin10010010101111110…
…001101001001011000
31212211122110111210010
4102111332031021120
5310314132344034
613014225121520
71265041035360
oct222576151130
955748414703
1019695981144
118397960174
1239981892a0
131b1b700818
14d4bb879a0
157a42163e9
hex495f8d258

19695981144 has 192 divisors, whose sum is σ = 58355942400. Its totient is φ = 5426012160.

The previous prime is 19695981133. The next prime is 19695981167. The reversal of 19695981144 is 44118959691.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27393217 + ... + 27393935.

It is an arithmetic number, because the mean of its divisors is an integer number (303937200).

Almost surely, 219695981144 is an apocalyptic number.

19695981144 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 19695981144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29177971200).

19695981144 is an abundant number, since it is smaller than the sum of its proper divisors (38659961256).

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

19695981144 is a wasteful number, since it uses less digits than its factorization.

19695981144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 869 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 57.

The spelling of 19695981144 in words is "nineteen billion, six hundred ninety-five million, nine hundred eighty-one thousand, one hundred forty-four".