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12443463345654 = 2331152973954803
BaseRepresentation
bin1011010100010011100000…
…1101100110010111110110
31122001120202100121012101000
42311010320031212113312
53112333203104030104
642244240444344130
72423003423161665
oct265047015462766
948046670535330
1012443463345654
113a68274727080
12148b762845046
136c354b785023
143103a42c8ddc
15168a3a3bc639
hexb51383665f6

12443463345654 has 64 divisors (see below), whose sum is σ = 30171674292480. Its totient is φ = 3770033650560.

The previous prime is 12443463345653. The next prime is 12443463345689. The reversal of 12443463345654 is 45654336434421.

12443463345654 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 3 + 46 + 3 + 34 + 565 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12443463345654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443463345653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169017 + ... + 5123819.

It is an arithmetic number, because the mean of its divisors is an integer number (471432410820).

Almost surely, 212443463345654 is an apocalyptic number.

12443463345654 is an abundant number, since it is smaller than the sum of its proper divisors (17728210946826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12443463345654 is a wasteful number, since it uses less digits than its factorization.

12443463345654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960122 (or 3960116 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 12443463345654 in words is "twelve trillion, four hundred forty-three billion, four hundred sixty-three million, three hundred forty-five thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 5297 10594 15891 31782 47673 58267 95346 116534 143019 174801 286038 349602 524403 1048806 1573209 3146418 3954803 7909606 11864409 23728818 35593227 43502833 71186454 87005666 106779681 130508499 213559362 261016998 391525497 783050994 1174576491 2349152982 20948591491 41897182982 62845774473 125691548946 188537323419 230434506401 377074646838 460869012802 565611970257 691303519203 1131223940514 1382607038406 2073910557609 4147821115218 6221731672827 12443463345654