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145176700050 = 232521950933359
BaseRepresentation
bin1000011100110100110…
…1001010010010010010
3111212201121120111012200
42013031031022102102
54334310213400200
6150405424304030
713326420406164
oct2071515122222
9455647514180
10145176700050
115662950a548
1224177472016
13108c820a715
147052d68934
153b9a42d800
hex21cd34a492

145176700050 has 144 divisors (see below), whose sum is σ = 411388848000. Its totient is φ = 36603066240.

The previous prime is 145176700037. The next prime is 145176700091. The reversal of 145176700050 is 50007671541.

It is a junction number, because it is equal to n+sod(n) for n = 145176699978 and 145176700014.

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, 4335271 + ... + 4368629.

It is an arithmetic number, because the mean of its divisors is an integer number (2856867000).

Almost surely, 2145176700050 is an apocalyptic number.

145176700050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145176700050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205694424000).

145176700050 is an abundant number, since it is smaller than the sum of its proper divisors (266212147950).

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

145176700050 is a wasteful number, since it uses less digits than its factorization.

145176700050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33905 (or 33897 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 145176700050 in words is "one hundred forty-five billion, one hundred seventy-six million, seven hundred thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 509 570 855 950 1018 1425 1527 1710 2545 2850 3054 4275 4581 5090 7635 8550 9162 9671 12725 15270 19342 22905 25450 29013 33359 38175 45810 48355 58026 66718 76350 87039 96710 100077 114525 145065 166795 174078 200154 229050 241775 290130 300231 333590 435195 483550 500385 600462 633821 725325 833975 870390 1000770 1267642 1450650 1501155 1667950 1901463 2175975 2501925 3002310 3169105 3802926 4351950 5003850 5704389 6338210 7505775 9507315 11408778 15011550 15845525 16979731 19014630 28521945 31691050 33959462 47536575 50939193 57043890 84898655 95073150 101878386 142609725 152817579 169797310 254695965 285219450 305635158 322614889 424493275 509391930 645229778 764087895 848986550 967844667 1273479825 1528175790 1613074445 1935689334 2546959650 2903534001 3226148890 3820439475 4839223335 5807068002 7640878950 8065372225 9678446670 14517670005 16130744450 24196116675 29035340010 48392233350 72588350025 145176700050