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45342131535 = 335978394127
BaseRepresentation
bin101010001110100110…
…100000010101001111
311100000222012221022000
4222032212200111033
51220330041202120
632455131123343
73163422521211
oct521646402517
9140028187260
1045342131535
11182584a6588
128954ba3553
134377a70a3c
1422a1c8c5b1
1512a59c0990
hexa8e9a054f

45342131535 has 64 divisors (see below), whose sum is σ = 81556070400. Its totient is φ = 23898848256.

The previous prime is 45342131479. The next prime is 45342131537. The reversal of 45342131535 is 53513124354.

45342131535 is a `hidden beast` number, since 4 + 53 + 42 + 1 + 31 + 535 = 666.

It is not a de Polignac number, because 45342131535 - 28 = 45342131279 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45342131535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45342131537) 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 63 ways as a sum of consecutive naturals, for example, 10984642 + ... + 10988768.

It is an arithmetic number, because the mean of its divisors is an integer number (1274313600).

Almost surely, 245342131535 is an apocalyptic number.

45342131535 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45342131535 is a deficient number, since it is larger than the sum of its proper divisors (36213938865).

45342131535 is a wasteful number, since it uses less digits than its factorization.

45342131535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5071 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 45342131535 its reverse (53513124354), we get a palindrome (98855255889).

The spelling of 45342131535 in words is "forty-five billion, three hundred forty-two million, one hundred thirty-one thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 97 135 291 485 839 873 1455 2517 2619 4127 4195 4365 7551 12381 12585 13095 20635 22653 37143 37755 61905 81383 111429 113265 185715 244149 400319 406915 557145 732447 1200957 1220745 2001595 2197341 3462553 3602871 3662235 6004785 10387659 10808613 10986705 17312765 18014355 31162977 51938295 54043065 93488931 155814885 335867641 467444655 1007602923 1679338205 3022808769 5038014615 9068426307 15114043845 45342131535