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45104138415 = 3457109227643
BaseRepresentation
bin101010000000011010…
…101000100010101111
311022102101101122010000
4222000122220202233
51214333124412130
632415350115343
73154502564550
oct520032504257
9138371348100
1045104138415
1118146123856
1288a934bb53
13433a6734cb
14227c41a327
15128eb5e260
hexa806a88af

45104138415 has 160 divisors (see below), whose sum is σ = 93808028160. Its totient is φ = 20308237056.

The previous prime is 45104138411. The next prime is 45104138449. The reversal of 45104138415 is 51483140154.

45104138415 is a `hidden beast` number, since 4 + 5 + 104 + 138 + 415 = 666.

It is not a de Polignac number, because 45104138415 - 22 = 45104138411 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45104138415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45104138411) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70146084 + ... + 70146726.

It is an arithmetic number, because the mean of its divisors is an integer number (586300176).

Almost surely, 245104138415 is an apocalyptic number.

45104138415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45104138415 is an abundant number, since it is smaller than the sum of its proper divisors (48703889745).

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

45104138415 is a wasteful number, since it uses less digits than its factorization.

45104138415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 45104138415 its reverse (51483140154), we get a palindrome (96587278569).

The spelling of 45104138415 in words is "forty-five billion, one hundred four million, one hundred thirty-eight thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 109 135 189 227 315 327 405 545 567 643 681 763 945 981 1135 1589 1635 1929 2043 2289 2835 2943 3215 3405 3815 4501 4767 4905 5787 6129 6867 7945 8829 9645 10215 11445 13503 14301 14715 17361 18387 20601 22505 23835 24743 28935 30645 34335 40509 42903 44145 52083 61803 67515 70087 71505 74229 86805 91935 103005 121527 123715 128709 145961 173201 202545 210261 214515 222687 260415 309015 350435 364581 371145 437883 490609 519603 607635 630783 643545 668061 729805 866005 1021727 1051305 1113435 1313649 1471827 1558809 1822905 1892349 2004183 2189415 2453045 2598015 3065181 3153915 3340305 3940947 4415481 4676427 5108635 5677047 6568245 7359135 7794045 9195543 9461745 10020915 11822841 13246443 14029281 15325905 15909749 19704735 22077405 23382135 27586629 28385235 39739329 45977715 47729247 59114205 66232215 70146405 79548745 82759887 111368243 137933145 143187741 198696645 238646235 334104729 413799435 429563223 556841215 715938705 1002314187 1288689669 1670523645 2147816115 3006942561 5011570935 6443448345 9020827683 15034712805 45104138415