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20416001452112 = 247793643633383
BaseRepresentation
bin1001010010001011110001…
…00000111010100001010000
32200021202021020120212101002
410221011320200322201100
510133443432332431422
6111230552005001132
74205002356021530
oct451057040724120
980252236525332
1020416001452112
116561417637222
1223589116b31a8
13b512b3a96226
145081d564d4c0
15256101460692
hex12917883a850

20416001452112 has 80 divisors (see below), whose sum is σ = 45791737712640. Its totient is φ = 8636574001536.

The previous prime is 20416001452109. The next prime is 20416001452129. The reversal of 20416001452112 is 21125410061402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31916573 + ... + 32549955.

It is an arithmetic number, because the mean of its divisors is an integer number (572396721408).

Almost surely, 220416001452112 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 20416001452112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22895868856320).

20416001452112 is an abundant number, since it is smaller than the sum of its proper divisors (25375736260528).

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

20416001452112 is a wasteful number, since it uses less digits than its factorization.

20416001452112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637120 (or 637114 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 20416001452112 in words is "twenty trillion, four hundred sixteen billion, one million, four hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 2212 3643 4424 7286 8848 14572 25501 29144 51002 58288 102004 204008 287797 408016 575594 633383 1151188 1266766 2014579 2302376 2533532 4029158 4433681 4604752 5067064 8058316 8867362 10134128 16116632 17734724 32233264 35469448 50037257 70938896 100074514 200149028 350260799 400298056 700521598 800596112 1401043196 2307414269 2802086392 4614828538 5604172784 9229657076 16151899883 18459314152 32303799766 36918628304 64607599532 129215199064 182285727251 258430398128 364571454502 729142909004 1276000090757 1458285818008 2552000181514 2916571636016 5104000363028 10208000726056 20416001452112