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20044620826240 = 275171842336473
BaseRepresentation
bin1001000111011000000001…
…00000010000011010000000
32121222020200002102100002211
410203230000200100122000
510111402340412414430
6110344212141151504
74136114250545203
oct443540040203200
977866602370084
1020044620826240
11642896a99223a
1222b8946b5b594
13b25279795aba
144d42443c793a
1524b61737672a
hex123b00810680

20044620826240 has 64 divisors (see below), whose sum is σ = 50737946493960. Its totient is φ = 7546210189312.

The previous prime is 20044620826201. The next prime is 20044620826271. The reversal of 20044620826240 is 4262802644002.

It can be written as a sum of positive squares in 4 ways, for example, as 18675327678016 + 1369293148224 = 4321496^2 + 1170168^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 20044620826193 and 20044620826202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921157357 + ... + 921179116.

Almost surely, 220044620826240 is an apocalyptic number.

20044620826240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20044620826240 is an abundant number, since it is smaller than the sum of its proper divisors (30693325667720).

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

20044620826240 is a wasteful number, since it uses less digits than its factorization.

20044620826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842336509 (or 1842336497 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 20044620826240 in words is "twenty trillion, forty-four billion, six hundred twenty million, eight hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 1842336473 3684672946 7369345892 9211682365 14738691784 18423364730 29477383568 31319720041 36846729460 58954767136 62639440082 73693458920 117909534272 125278880164 147386917840 156598600205 235819068544 250557760328 294773835680 313197200410 501115520656 589547671360 626394400820 1002231041312 1179095342720 1252788801640 2004462082624 2505577603280 4008924165248 5011155206560 10022310413120 20044620826240