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2071189441 = 173726912241
BaseRepresentation
bin111101101110011…
…1101011111000001
312100100022022210001
41323130331133001
513220211030231
6541304440001
7102216551116
oct17334753701
95310268701
102071189441
11973150312
12499779001
132701413a9
1415910a90d
15c1c75b61
hex7b73d7c1

2071189441 has 16 divisors (see below), whose sum is σ = 2260852560. Its totient is φ = 1889464320.

The previous prime is 2071189429. The next prime is 2071189447. The reversal of 2071189441 is 1449811702.

It can be written as a sum of positive squares in 8 ways, for example, as 484416 + 2070705025 = 696^2 + 45505^2 .

It is not a de Polignac number, because 2071189441 - 27 = 2071189313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2071189441.

It is not an unprimeable number, because it can be changed into a prime (2071189447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163081 + ... + 175321.

It is an arithmetic number, because the mean of its divisors is an integer number (141303285).

Almost surely, 22071189441 is an apocalyptic number.

It is an amenable number.

2071189441 is a deficient number, since it is larger than the sum of its proper divisors (189663119).

2071189441 is a wasteful number, since it uses less digits than its factorization.

2071189441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12564.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 2071189441 is about 45510.3223565819. The cubic root of 2071189441 is about 1274.6959553881.

It can be divided in two parts, 2071189 and 441, that added together give a triangular number (2071630 = T2035).

The spelling of 2071189441 in words is "two billion, seventy-one million, one hundred eighty-nine thousand, four hundred forty-one".

Divisors: 1 17 37 269 629 4573 9953 12241 169201 208097 452917 3292829 7699589 55978093 121834673 2071189441