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85236121056 = 25313921133023
BaseRepresentation
bin100111101100001110…
…1111111110111100000
322011000020210120202110
41033120131333313200
52344030421333211
6103053521515320
76105142034442
oct1173035776740
9264006716673
1085236121056
113316a628359
12146294a2b40
138064b86ab8
1441a8342492
15233d016ea6
hex13d877fde0

85236121056 has 96 divisors (see below), whose sum is σ = 225535726080. Its totient is φ = 28184961024.

The previous prime is 85236121051. The next prime is 85236121057. The reversal of 85236121056 is 65012163258.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85236121051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28194361 + ... + 28197383.

It is an arithmetic number, because the mean of its divisors is an integer number (2349330480).

Almost surely, 285236121056 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 85236121056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112767863040).

85236121056 is an abundant number, since it is smaller than the sum of its proper divisors (140299605024).

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

85236121056 is a wasteful number, since it uses less digits than its factorization.

85236121056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 85236121056 in words is "eighty-five billion, two hundred thirty-six million, one hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2113 2224 3023 3336 4226 4448 6046 6339 6672 8452 9069 12092 12678 13344 16904 18138 24184 25356 33808 36276 48368 50712 67616 72552 96736 101424 145104 202848 290208 293707 420197 587414 840394 881121 1174828 1260591 1680788 1762242 2349656 2521182 3361576 3524484 4699312 5042364 6387599 6723152 7048968 9398624 10084728 12775198 13446304 14097936 19162797 20169456 25550396 28195872 38325594 40338912 51100792 76651188 102201584 153302376 204403168 306604752 613209504 887876261 1775752522 2663628783 3551505044 5327257566 7103010088 10654515132 14206020176 21309030264 28412040352 42618060528 85236121056