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2145364126641 = 321033263387641
BaseRepresentation
bin11111001110000001101…
…010101010101110110001
321121002120010002121010100
4133032001222222232301
5240122201204023031
64321322222423013
7310666060123401
oct37160152525661
97532503077110
102145364126641
1175793113573a
122a7952131a69
131273cb5460a8
1475b9c686801
153ac14acede6
hex1f381aaabb1

2145364126641 has 24 divisors (see below), whose sum is σ = 3103072634376. Its totient is φ = 1428299228160.

The previous prime is 2145364126637. The next prime is 2145364126643. The reversal of 2145364126641 is 1466214635412.

2145364126641 is a `hidden beast` number, since 2 + 1 + 4 + 536 + 4 + 12 + 66 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1281245150241 + 864118976400 = 1131921^2 + 929580^2 .

It is not a de Polignac number, because 2145364126641 - 22 = 2145364126637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2145364126643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24435181 + ... + 24522821.

It is an arithmetic number, because the mean of its divisors is an integer number (129294693099).

Almost surely, 22145364126641 is an apocalyptic number.

It is an amenable number.

2145364126641 is a deficient number, since it is larger than the sum of its proper divisors (957708507735).

2145364126641 is a wasteful number, since it uses less digits than its factorization.

2145364126641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91313 (or 91310 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 2145364126641 in words is "two trillion, one hundred forty-five billion, three hundred sixty-four million, one hundred twenty-six thousand, six hundred forty-one".

Divisors: 1 3 9 1033 2633 3099 7899 9297 23697 87641 262923 788769 2719889 8159667 24479001 90533153 230758753 271599459 692276259 814798377 2076828777 238373791849 715121375547 2145364126641