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145184761845 = 325191792633607
BaseRepresentation
bin1000011100110110101…
…1111010011111110101
3111212202011202001220200
42013031223322133311
54334314244334340
6150410313151113
713326546054024
oct2071553723765
9455664661820
10145184761845
1156633016492
122417a0bb499
13108c9aa1006
1470540668bb
153b9aec2330
hex21cdafa7f5

145184761845 has 96 divisors (see below), whose sum is σ = 267465369600. Its totient is φ = 72649187712.

The previous prime is 145184761817. The next prime is 145184761849. The reversal of 145184761845 is 548167481541.

145184761845 is a `hidden beast` number, since 1 + 4 + 5 + 18 + 4 + 7 + 618 + 4 + 5 = 666.

It is not a de Polignac number, because 145184761845 - 236 = 76465285109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145184761791 and 145184761800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145184761849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40249032 + ... + 40252638.

It is an arithmetic number, because the mean of its divisors is an integer number (2786097600).

Almost surely, 2145184761845 is an apocalyptic number.

145184761845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145184761845 is a deficient number, since it is larger than the sum of its proper divisors (122280607755).

145184761845 is a wasteful number, since it uses less digits than its factorization.

145184761845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4076 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The spelling of 145184761845 in words is "one hundred forty-five billion, one hundred eighty-four million, seven hundred sixty-one thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 179 263 285 537 789 855 895 1315 1611 2367 2685 3401 3607 3945 4997 8055 10203 10821 11835 14991 17005 18035 24985 30609 32463 44973 47077 51015 54105 68533 74955 141231 153045 162315 205599 224865 235385 342665 423693 616797 645653 706155 894463 948641 1027995 1936959 2118465 2683389 2845923 3083985 3228265 4472315 4743205 5810877 8050167 8537769 9684795 12267407 13416945 14229615 18024179 29054385 36802221 40250835 42688845 54072537 61337035 90120895 110406663 162217611 169806739 184011105 270362685 509420217 552033315 811088055 849033695 1528260651 2547101085 3226328041 7641303255 9678984123 16131640205 29036952369 48394920615 145184761845