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1465432345641 = 311433363667
BaseRepresentation
bin10101010100110010100…
…100110000110000101001
312012002112111111100111210
4111110302210300300221
5143002201140030031
63041113232543333
7210605531262105
oct25246244606051
95162474440453
101465432345641
115155393a0000
121b80163b1b49
13a826094aa64
1450cda744905
15281bc76b746
hex15532930c29

1465432345641 has 20 divisors (see below), whose sum is σ = 2149287492560. Its totient is φ = 888140788920.

The previous prime is 1465432345639. The next prime is 1465432345661.

1465432345641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1465432345641 - 21 = 1465432345639 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1465432345631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16637911 + ... + 16725756.

It is an arithmetic number, because the mean of its divisors is an integer number (107464374628).

Almost surely, 21465432345641 is an apocalyptic number.

1465432345641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1465432345641 is a deficient number, since it is larger than the sum of its proper divisors (683855146919).

1465432345641 is an frugal number, since it uses more digits than its factorization.

1465432345641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33363714 (or 33363681 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 1465432345641 in words is "one trillion, four hundred sixty-five billion, four hundred thirty-two million, three hundred forty-five thousand, six hundred forty-one".

Divisors: 1 3 11 33 121 363 1331 3993 14641 43923 33363667 100091001 367000337 1101001011 4037003707 12111011121 44407040777 133221122331 488477448547 1465432345641