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3950266320020 = 22517193541711113
BaseRepresentation
bin111001011110111110001…
…110001000010010010100
3111222122022211222222200202
4321132332032020102110
51004210121134220040
612222421032400032
7555253165463426
oct71367616102224
914878284888622
103950266320020
111293331399809
12539708246018
1322867c293827
14d92a0136816
156cb4ebc0015
hex397be388494

3950266320020 has 96 divisors (see below), whose sum is σ = 8831468384928. Its totient is φ = 1479047380992.

The previous prime is 3950266319953. The next prime is 3950266320083. The reversal of 3950266320020 is 200236620593.

It is a happy number.

3950266320020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3001251337744 + 949014982276 = 1732412^2 + 974174^2 .

It is a congruent number.

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, 355457984 + ... + 355469096.

It is an arithmetic number, because the mean of its divisors is an integer number (91994462343).

Almost surely, 23950266320020 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 3950266320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415734192464).

3950266320020 is an abundant number, since it is smaller than the sum of its proper divisors (4881202064908).

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

3950266320020 is a wasteful number, since it uses less digits than its factorization.

3950266320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16749 (or 16747 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The spelling of 3950266320020 in words is "three trillion, nine hundred fifty billion, two hundred sixty-six million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 193 340 386 772 965 1930 3281 3860 5417 6562 10834 11113 13124 16405 21668 22226 27085 32810 44452 54170 55565 65620 92089 108340 111130 184178 188921 222260 368356 377842 460445 755684 920890 944605 1045481 1841780 1889210 2090962 2144809 3778420 4181924 4289618 5227405 8579236 10454810 10724045 17773177 20909620 21448090 35546354 36461753 42896180 60199121 71092708 72923506 88865885 120398242 145847012 177731770 182308765 240796484 300995605 355463540 364617530 601991210 729235060 1023385057 1203982420 2046770114 4093540228 5116925285 10233850570 11618430353 20467701140 23236860706 46473721412 58092151765 116184303530 197513316001 232368607060 395026632002 790053264004 987566580005 1975133160010 3950266320020