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171443544944 = 2473172318131
BaseRepresentation
bin1001111110101011010…
…1001110001101110000
3121101112012021110111212
42133222311032031300
510302104021414234
6210432102055252
715246350042000
oct2375265161560
9541465243455
10171443544944
1166788458921
122928811a528
1313223040aa9
148425682000
1546d64425ce
hex27ead4e370

171443544944 has 80 divisors (see below), whose sum is σ = 387618643200. Its totient is φ = 73429110720.

The previous prime is 171443544917. The next prime is 171443544959. The reversal of 171443544944 is 449445344171.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 171443544892 and 171443544901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9446759 + ... + 9464889.

It is an arithmetic number, because the mean of its divisors is an integer number (4845233040).

Almost surely, 2171443544944 is an apocalyptic number.

171443544944 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 171443544944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193809321600).

171443544944 is an abundant number, since it is smaller than the sum of its proper divisors (216175098256).

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

171443544944 is a wasteful number, since it uses less digits than its factorization.

171443544944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19883 (or 19863 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 50.

The spelling of 171443544944 in words is "one hundred seventy-one billion, four hundred forty-three million, five hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 1723 2744 3446 5488 6892 12061 13784 18131 24122 27568 36262 48244 72524 84427 96488 126917 145048 168854 192976 253834 290096 337708 507668 590989 675416 888419 1015336 1181978 1350832 1776838 2030672 2363956 3553676 4727912 6218933 7107352 9455824 12437866 14214704 24875732 31239713 49751464 62479426 99502928 124958852 218677991 249917704 437355982 499835408 874711964 1530745937 1749423928 3061491874 3498847856 6122983748 10715221559 12245967496 21430443118 24491934992 42860886236 85721772472 171443544944