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36420454112 = 2572916193463
BaseRepresentation
bin100001111010110101…
…000000011011100000
310111000012111202122212
4201322311000123200
51044042114012422
624421544421252
72426350515650
oct417265003340
9114005452585
1036420454112
111449a440259
127085177828
1335855b4483
141a97024360
15e326159e2
hex87ad406e0

36420454112 has 96 divisors (see below), whose sum is σ = 84848601600. Its totient is φ = 15056875008.

The previous prime is 36420454079. The next prime is 36420454121. The reversal of 36420454112 is 21145402463.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10515293 + ... + 10518755.

It is an arithmetic number, because the mean of its divisors is an integer number (883839600).

Almost surely, 236420454112 is an apocalyptic number.

36420454112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36420454112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42424300800).

36420454112 is an abundant number, since it is smaller than the sum of its proper divisors (48428147488).

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

36420454112 is a wasteful number, since it uses less digits than its factorization.

36420454112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 36420454112 its reverse (21145402463), we get a palindrome (57565856575).

The spelling of 36420454112 in words is "thirty-six billion, four hundred twenty million, four hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1619 1624 3238 3248 3463 6476 6496 6926 11333 12952 13852 22666 24241 25904 27704 45332 46951 48482 51808 55408 90664 93902 96964 100427 110816 181328 187804 193928 200854 328657 362656 375608 387856 401708 657314 702989 751216 775712 803416 1314628 1405978 1502432 1606832 2629256 2811956 3213664 5258512 5606597 5623912 10517024 11213194 11247824 22426388 22495648 39246179 44852776 78492358 89705552 156984716 162591313 179411104 313969432 325182626 627938864 650365252 1138139191 1255877728 1300730504 2276278382 2601461008 4552556764 5202922016 9105113528 18210227056 36420454112