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452144504461 = 1322992255561
BaseRepresentation
bin1101001010001011110…
…10011001111010001101
31121020001201122122200211
412211011322121322031
524401442443120321
6543413505522421
744444363606236
oct6450572317215
91536051578624
10452144504461
11164831870391
1273766343411
133383877bb00
1417c5364608d
15bb646970e1
hex6945e99e8d

452144504461 has 12 divisors (see below), whose sum is σ = 506483035380. Its totient is φ = 402972286080.

The previous prime is 452144504453. The next prime is 452144504467. The reversal of 452144504461 is 164405441254.

It can be written as a sum of positive squares in 6 ways, for example, as 39787881961 + 412356622500 = 199469^2 + 642150^2 .

It is not a de Polignac number, because 452144504461 - 23 = 452144504453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452144504467) 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, 46122880 + ... + 46132681.

It is an arithmetic number, because the mean of its divisors is an integer number (42206919615).

Almost surely, 2452144504461 is an apocalyptic number.

It is an amenable number.

452144504461 is a deficient number, since it is larger than the sum of its proper divisors (54338530919).

452144504461 is a wasteful number, since it uses less digits than its factorization.

452144504461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92255616 (or 92255603 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 452144504461 in words is "four hundred fifty-two billion, one hundred forty-four million, five hundred four thousand, four hundred sixty-one".

Divisors: 1 13 29 169 377 4901 92255561 1199322293 2675411269 15591189809 34780346497 452144504461