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18759072852 = 2234134619661
BaseRepresentation
bin10001011110001000…
…001011110001010100
31210102100111122020000
4101132020023301110
5301404310312402
612341240011300
71232603326332
oct213610136124
953370448200
1018759072852
117a5700a0a3
123776460b30
1319cc583910
14c9d580b52
1574bd48c1c
hex45e20bc54

18759072852 has 120 divisors (see below), whose sum is σ = 52932262152. Its totient is φ = 5758905600.

The previous prime is 18759072851. The next prime is 18759072859. The reversal of 18759072852 is 25827095781.

It can be written as a sum of positive squares in 4 ways, for example, as 1431562896 + 17327509956 = 37836^2 + 131634^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18759072851) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1936902 + ... + 1946562.

Almost surely, 218759072852 is an apocalyptic number.

18759072852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18759072852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26466131076).

18759072852 is an abundant number, since it is smaller than the sum of its proper divisors (34173189300).

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

18759072852 is a wasteful number, since it uses less digits than its factorization.

18759072852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10151 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 18759072852 in words is "eighteen billion, seven hundred fifty-nine million, seventy-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 461 468 702 922 1053 1383 1404 1844 2106 2766 4149 4212 5532 5993 8298 9661 11986 12447 16596 17979 19322 23972 24894 28983 35958 37341 38644 49788 53937 57966 71916 74682 86949 107874 115932 125593 149364 161811 173898 215748 251186 260847 323622 347796 376779 485433 502372 521694 647244 753558 782541 970866 1043388 1130337 1507116 1565082 1941732 2260674 3130164 3391011 4453721 4521348 6782022 8907442 10173033 13361163 13564044 17814884 20346066 26722326 40083489 40692132 53444652 57898373 80166978 115796746 120250467 160333956 173695119 231593492 240500934 347390238 360751401 481001868 521085357 694780476 721502802 1042170714 1443005604 1563256071 2084341428 3126512142 4689768213 6253024284 9379536426 18759072852