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454503840561 = 32172132192
BaseRepresentation
bin1101001110100101000…
…10100011101100110001
31121110011011011100101100
412213102202203230301
524421310440344221
6544443550355013
744560012621161
oct6472242435461
91543134140340
10454503840561
11165832629531
12741044bba69
1333b234ca984
1417dd8b1c5a1
15bc51889926
hex69d28a3b31

454503840561 has 27 divisors (see below), whose sum is σ = 697447927371. Its totient is φ = 285157306944.

The previous prime is 454503840521. The next prime is 454503840563. The reversal of 454503840561 is 165048305454.

The square root of 454503840561 is 674169.

It is a perfect power (a square), and thus also a powerful number.

454503840561 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 0 + 3 + 84 + 0 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 353852471025 + 100651369536 = 594855^2 + 317256^2 .

It is not a de Polignac number, because 454503840561 - 27 = 454503840433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (454503840563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34376010 + ... + 34389228.

Almost surely, 2454503840561 is an apocalyptic number.

454503840561 is the 674169-th square number.

454503840561 is the 337085-th centered octagonal number.

It is an amenable number.

454503840561 is a deficient number, since it is larger than the sum of its proper divisors (242944086810).

454503840561 is an frugal number, since it uses more digits than its factorization.

454503840561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26478 (or 13239 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 454503840561 in words is "four hundred fifty-four billion, five hundred three million, eight hundred forty thousand, five hundred sixty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 13219 39657 118971 224723 674169 2022507 3820291 11460873 34382619 174741961 524225883 1572677649 2970613337 8911840011 26735520033 50500426729 151501280187 454503840561