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1550440857889 = 7211210321572
BaseRepresentation
bin10110100011111101011…
…110100000000100100001
312111012221220000012200101
4112203331132200010201
5200400300324423024
63144132424222401
7220005240563200
oct26437536400441
95435856005611
101550440857889
115485a1498500
1221059b60aa01
13b328a601a91
1455082759237
152a4e57c3c44
hex168fd7a0121

1550440857889 has 81 divisors (see below), whose sum is σ = 2014706781171. Its totient is φ = 1188785838240.

The previous prime is 1550440857827. The next prime is 1550440857899. The reversal of 1550440857889 is 9887580440551.

The square root of 1550440857889 is 1245167.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 454457998225 + 1095982859664 = 674135^2 + 1046892^2 .

It is not a de Polignac number, because 1550440857889 - 211 = 1550440855841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1550440857889.

It is not an unprimeable number, because it can be changed into a prime (1550440857899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9875419399 + ... + 9875419555.

Almost surely, 21550440857889 is an apocalyptic number.

1550440857889 is the 1245167-th square number.

1550440857889 is the 622584-th centered octagonal number.

It is an amenable number.

1550440857889 is a deficient number, since it is larger than the sum of its proper divisors (464265923282).

1550440857889 is an equidigital number, since it uses as much as digits as its factorization.

1550440857889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 64.

Multiplying 1550440857889 by its sum of digits (64), we get a square (99228214904896 = 99613362).

The spelling of 1550440857889 in words is "one trillion, five hundred fifty billion, four hundred forty million, eight hundred fifty-seven thousand, eight hundred eighty-nine".

Divisors: 1 7 11 49 77 103 121 157 539 721 847 1099 1133 1727 5047 5929 7693 7931 10609 12089 12463 16171 18997 24649 55517 74263 84623 87241 113197 116699 132979 172543 177881 271139 519841 610687 792379 816893 930853 1207801 1245167 1283689 1665613 1897973 1956691 2538847 2982529 5718251 8716169 8985823 11659291 13285811 13696837 17771929 18321743 20877703 27927317 62900761 81615037 95877859 124403503 128252201 146143921 195491219 201539173 261501241 307200487 897765407 1368438533 1410774211 1830508687 2150403409 2876513651 9875419477 12813560809 15052823863 20135595557 31641650161 140949168899 221491551127 1550440857889