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8179780050 = 23252136132281
BaseRepresentation
bin1111001111000110…
…11000100111010010
3210010001200212202200
413213203120213102
5113223010430200
63431401024030
7406462661151
oct74743304722
923101625680
108179780050
1135182aa902
121703485016
13a0486ab50
14578505598
1532d1ad800
hex1e78d89d2

8179780050 has 144 divisors (see below), whose sum is σ = 23715831048. Its totient is φ = 2009318400.

The previous prime is 8179780009. The next prime is 8179780067. The reversal of 8179780050 is 500879718.

It can be written as a sum of positive squares in 12 ways, for example, as 530703369 + 7649076681 = 23037^2 + 87459^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 8179779978 and 8179780005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3584910 + ... + 3587190.

Almost surely, 28179780050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8179780050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857915524).

8179780050 is an abundant number, since it is smaller than the sum of its proper divisors (15536050998).

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

8179780050 is a wasteful number, since it uses less digits than its factorization.

8179780050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 8179780050 is about 90442.1364741015. The cubic root of 8179780050 is about 2014.8708260532.

The spelling of 8179780050 in words is "eight billion, one hundred seventy-nine million, seven hundred eighty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 613 650 975 1170 1226 1839 1950 2281 2925 3065 3678 4562 5517 5850 6130 6843 7969 9195 11034 11405 13686 15325 15938 18390 20529 22810 23907 27585 29653 30650 34215 39845 41058 45975 47814 55170 57025 59306 68430 71721 79690 88959 91950 102645 114050 119535 137925 143442 148265 171075 177918 199225 205290 239070 266877 275850 296530 342150 358605 398450 444795 513225 533754 597675 717210 741325 889590 1026450 1195350 1334385 1398253 1482650 1793025 2223975 2668770 2796506 3586050 4194759 4447950 6671925 6991265 8389518 12584277 13343850 13982530 18177289 20973795 25168554 34956325 36354578 41947590 54531867 62921385 69912650 90886445 104868975 109063734 125842770 163595601 181772890 209737950 272659335 314606925 327191202 454432225 545318670 629213850 817978005 908864450 1363296675 1635956010 2726593350 4089890025 8179780050