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945095419940 = 225761127871393
BaseRepresentation
bin11011100000011000001…
…00111010100000100100
310100100110022202202211212
431300030010322200210
5110441023411414230
62002100522450552
7125165226344030
oct15601404724044
93310408682755
10945095419940
113348a37a92a1
121331ba663a58
136b178399149
1433a585b31c0
15198b6517895
hexdc0c13a824

945095419940 has 96 divisors (see below), whose sum is σ = 2323568615424. Its totient is φ = 316210728960.

The previous prime is 945095419921. The next prime is 945095419963. The reversal of 945095419940 is 49914590549.

It is a self number, because there is not a number n which added to its sum of digits gives 945095419940.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648884 + ... + 1520276.

It is an arithmetic number, because the mean of its divisors is an integer number (24203839744).

Almost surely, 2945095419940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945095419940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161784307712).

945095419940 is an abundant number, since it is smaller than the sum of its proper divisors (1378473195484).

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

945095419940 is a wasteful number, since it uses less digits than its factorization.

945095419940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871597 (or 871595 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 59.

The spelling of 945095419940 in words is "nine hundred forty-five billion, ninety-five million, four hundred nineteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 127 140 244 254 305 427 508 610 635 854 889 1220 1270 1708 1778 2135 2540 3556 4270 4445 7747 8540 8890 15494 17780 30988 38735 54229 77470 108458 154940 216916 271145 542290 871393 1084580 1742786 3485572 4356965 6099751 8713930 12199502 17427860 24399004 30498755 53154973 60997510 106309946 110666911 121995020 212619892 221333822 265774865 372084811 442667644 531549730 553334555 744169622 774668377 1063099460 1106669110 1488339244 1549336754 1860424055 2213338220 3098673508 3720848110 3873341885 6750681571 7441696220 7746683770 13501363142 15493367540 27002726284 33753407855 47254770997 67506815710 94509541994 135013631420 189019083988 236273854985 472547709970 945095419940