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20420424004224 = 273134047396713
BaseRepresentation
bin1001010010010100000000…
…00111100111001010000000
32200022011200110101210100110
410221022000013213022000
510134032012021113344
6111233002511351320
74205220100055466
oct451120007471200
980264613353313
1020420424004224
116563286a9a072
122359746822540
13b5183a0c417a
145084d4b58836
152562ae8513b9
hex1292801e7280

20420424004224 has 64 divisors (see below), whose sum is σ = 54242292637440. Its totient is φ = 6806740064256.

The previous prime is 20420424004207. The next prime is 20420424004283. The reversal of 20420424004224 is 42240042402402.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 20420424004191 and 20420424004200.

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, 51275692 + ... + 51672404.

It is an arithmetic number, because the mean of its divisors is an integer number (847535822460).

Almost surely, 220420424004224 is an apocalyptic number.

20420424004224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20420424004224 is an abundant number, since it is smaller than the sum of its proper divisors (33821868633216).

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

20420424004224 is a wasteful number, since it uses less digits than its factorization.

20420424004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530777 (or 530765 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 20420424004224 its reverse (42240042402402), we get a palindrome (62660466406626).

The spelling of 20420424004224 in words is "twenty trillion, four hundred twenty billion, four hundred twenty-four million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 134047 268094 396713 402141 536188 793426 804282 1072376 1190139 1586852 1608564 2144752 2380278 3173704 3217128 4289504 4760556 6347408 6434256 8579008 9521112 12694816 12868512 17158016 19042224 25389632 25737024 38084448 50779264 51474048 76168896 152337792 53178187511 106356375022 159534562533 212712750044 319069125066 425425500088 638138250132 850851000176 1276276500264 1701702000352 2552553000528 3403404000704 5105106001056 6806808001408 10210212002112 20420424004224