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544412313153 = 32113535312009
BaseRepresentation
bin1111110110000011000…
…00001010011001000001
31221001020000210222111200
413323001200022121001
532404424023010103
61054033301131413
754222021211032
oct7730140123101
91831200728450
10544412313153
1119a97a615735
12896166b9b69
133c451384a07
141c4c77d2a89
15e264b870a3
hex7ec180a641

544412313153 has 12 divisors (see below), whose sum is σ = 793332398820. Its totient is φ = 359729669376.

The previous prime is 544412313139. The next prime is 544412313191. The reversal of 544412313153 is 351313214445.

544412313153 is a `hidden beast` number, since 54 + 441 + 2 + 3 + 13 + 153 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86958932544 + 457453380609 = 294888^2 + 676353^2 .

It is not a de Polignac number, because 544412313153 - 212 = 544412309057 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (544412303153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267654988 + ... + 267657021.

It is an arithmetic number, because the mean of its divisors is an integer number (66111033235).

Almost surely, 2544412313153 is an apocalyptic number.

It is an amenable number.

544412313153 is a deficient number, since it is larger than the sum of its proper divisors (248920085667).

544412313153 is a wasteful number, since it uses less digits than its factorization.

544412313153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535312128 (or 535312125 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 544412313153 its reverse (351313214445), we get a palindrome (895725527598).

The spelling of 544412313153 in words is "five hundred forty-four billion, four hundred twelve million, three hundred thirteen thousand, one hundred fifty-three".

Divisors: 1 3 9 113 339 1017 535312009 1605936027 4817808081 60490257017 181470771051 544412313153