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19729577406 = 2371188148473
BaseRepresentation
bin10010010111111110…
…010111010110111110
31212220222200101012010
4102113332113112332
5310401232434111
613021425152050
71265626432560
oct222776272676
955828611163
1019729577406
118404917580
1239a748b626
131b25664676
14d52411330
157a7150aa6
hex497f975be

19729577406 has 64 divisors (see below), whose sum is σ = 49252686336. Its totient is φ = 5118643200.

The previous prime is 19729577401. The next prime is 19729577419. The reversal of 19729577406 is 60477592791.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19729577401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382786 + ... + 431258.

It is an arithmetic number, because the mean of its divisors is an integer number (769573224).

Almost surely, 219729577406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19729577406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24626343168).

19729577406 is an abundant number, since it is smaller than the sum of its proper divisors (29523108930).

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

19729577406 is a wasteful number, since it uses less digits than its factorization.

19729577406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49377.

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 19729577406 in words is "nineteen billion, seven hundred twenty-nine million, five hundred seventy-seven thousand, four hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 881 1762 2643 5286 6167 9691 12334 18501 19382 29073 37002 48473 58146 67837 96946 135674 145419 203511 290838 339311 407022 533203 678622 1017933 1066406 1599609 2035866 3199218 3732421 7464842 11197263 22394526 42704713 85409426 128114139 256228278 298932991 469751843 597865982 896798973 939503686 1409255529 1793597946 2818511058 3288262901 6576525802 9864788703 19729577406