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20422440200016 = 24321167712145457
BaseRepresentation
bin1001010010010111110000…
…10010110010011101010000
32200022100212222020011000200
410221023320102302131100
510134100124142400031
6111233534533415200
74205321051333361
oct451137022623520
980270788204020
1020422440200016
116564121098888
12235a009a9a500
13b51a9ba1c22a
1450864682bb68
1525637b8628e6
hex1292f84b2750

20422440200016 has 60 divisors (see below), whose sum is σ = 57159367385172. Its totient is φ = 6806896524288.

The previous prime is 20422440200011. The next prime is 20422440200059. The reversal of 20422440200016 is 61000204422402.

20422440200016 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 440 + 200 + 0 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17254054440000 + 3168385760016 = 4153800^2 + 1779996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20422440200011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4391241 + ... + 7754216.

Almost surely, 220422440200016 is an apocalyptic number.

It is an amenable number.

20422440200016 is an abundant number, since it is smaller than the sum of its proper divisors (36736927185156).

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

20422440200016 is a wasteful number, since it uses less digits than its factorization.

20422440200016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12157148 (or 12157139 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20422440200016 its reverse (61000204422402), we get a palindrome (81422644622418).

The spelling of 20422440200016 in words is "twenty trillion, four hundred twenty-two billion, four hundred forty million, two hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11677 23354 35031 46708 70062 93416 105093 140124 186832 210186 280248 420372 560496 840744 1681488 12145457 24290914 36436371 48581828 72872742 97163656 109309113 145745484 194327312 218618226 291490968 437236452 582981936 874472904 1748945808 141822501389 283645002778 425467504167 567290005556 850935008334 1134580011112 1276402512501 1701870016668 2269160022224 2552805025002 3403740033336 5105610050004 6807480066672 10211220100008 20422440200016