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19942441472 = 29794
BaseRepresentation
bin10010100100101010…
…011000001000000000
31220110211012222210102
4102210222120020000
5311320231111342
613054511421532
71304122645532
oct224452301000
956424188712
1019942441472
118503a96498
123a468248a8
131b5a7a4035
14d727c1852
157bab9b832
hex4a4a98200

19942441472 has 50 divisors (see below), whose sum is σ = 40356778143. Its totient is φ = 9845002752.

The previous prime is 19942441471. The next prime is 19942441483. The reversal of 19942441472 is 27414424991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 9971220736 + 9971220736 = 99856^2 + 99856^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=99856.

It is a Duffinian number.

Its product of digits (580608) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (19942441471) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 252435929 + ... + 252436007.

Almost surely, 219942441472 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 19942441472

19942441472 is an abundant number, since it is smaller than the sum of its proper divisors (20414336671).

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

19942441472 is an frugal number, since it uses more digits than its factorization.

19942441472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 81 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The spelling of 19942441472 in words is "nineteen billion, nine hundred forty-two million, four hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1264 2528 5056 6241 10112 12482 20224 24964 40448 49928 99856 199712 399424 493039 798848 986078 1597696 1972156 3195392 3944312 7888624 15777248 31554496 38950081 63108992 77900162 126217984 155800324 252435968 311600648 623201296 1246402592 2492805184 4985610368 9971220736 19942441472