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45143346432 = 283266322073
BaseRepresentation
bin101010000010110000…
…001100110100000000
311022112010011121101210
4222002300030310000
51214423144041212
632423310330120
73155460053622
oct520260146400
9138463147353
1045143346432
1118166273378
1288ba4b9940
134345820712
142283704c12
15129330653c
hexa82c0cd00

45143346432 has 72 divisors (see below), whose sum is σ = 120197697984. Its totient is φ = 15041449984.

The previous prime is 45143346431. The next prime is 45143346449. The reversal of 45143346432 is 23464334154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45143346431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2034148 + ... + 2056220.

It is an arithmetic number, because the mean of its divisors is an integer number (1669412472).

Almost surely, 245143346432 is an apocalyptic number.

It is an amenable number.

45143346432 is an abundant number, since it is smaller than the sum of its proper divisors (75054351552).

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

45143346432 is a wasteful number, since it uses less digits than its factorization.

45143346432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24755 (or 24741 counting only the distinct ones).

The product of its digits is 414720, while the sum is 39.

The spelling of 45143346432 in words is "forty-five billion, one hundred forty-three million, three hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2663 5326 7989 10652 15978 21304 22073 31956 42608 44146 63912 66219 85216 88292 127824 132438 170432 176584 255648 264876 340864 353168 511296 529752 681728 706336 1022592 1059504 1412672 2045184 2119008 2825344 4238016 5650688 8476032 16952064 58780399 117560798 176341197 235121596 352682394 470243192 705364788 940486384 1410729576 1880972768 2821459152 3761945536 5642918304 7523891072 11285836608 15047782144 22571673216 45143346432