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42553221345 = 335127219543
BaseRepresentation
bin100111101000010111…
…101010000011100001
311001211121101121202000
4213220113222003201
51144122111040340
631314303114213
73034336261545
oct475027520341
9131747347660
1042553221345
1117057203028
1282b6ba2969
13402202741b
1420b9713a25
151190c26d30
hex9e85ea0e1

42553221345 has 48 divisors (see below), whose sum is σ = 76254433920. Its totient is φ = 22515198048.

The previous prime is 42553221343. The next prime is 42553221353. The reversal of 42553221345 is 54312235524.

42553221345 is a `hidden beast` number, since 42 + 5 + 53 + 221 + 345 = 666.

It is not a de Polignac number, because 42553221345 - 21 = 42553221343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42553221343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167644 + ... + 2187186.

It is an arithmetic number, because the mean of its divisors is an integer number (1588634040).

Almost surely, 242553221345 is an apocalyptic number.

42553221345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42553221345 is a deficient number, since it is larger than the sum of its proper divisors (33701212575).

42553221345 is a wasteful number, since it uses less digits than its factorization.

42553221345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19811 (or 19678 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 42553221345 its reverse (54312235524), we get a palindrome (96865456869).

The spelling of 42553221345 in words is "forty-two billion, five hundred fifty-three million, two hundred twenty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 127 135 381 635 1143 1905 3429 5715 16129 17145 19543 48387 58629 80645 97715 145161 175887 241935 293145 435483 527661 725805 879435 2177415 2481961 2638305 7445883 12409805 22337649 37229415 67012947 111688245 315209047 335064735 945627141 1576045235 2836881423 4728135705 8510644269 14184407115 42553221345