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36106080256 = 21229692
BaseRepresentation
bin100001101000000101…
…110001000000000000
310110012021221220210201
4201220011301000000
51042421124032011
624330434334544
72415512422051
oct415005610000
9113167856721
1036106080256
1114348a39554
126bb7a2a454
13353542303c
141a6738c728
15e14c17cc1
hex868171000

36106080256 has 39 divisors (see below), whose sum is σ = 72227672821. Its totient is φ = 18046959616.

The previous prime is 36106080251. The next prime is 36106080293. The reversal of 36106080256 is 65208060163.

The square root of 36106080256 is 190016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 218566656 + 35887513600 = 14784^2 + 189440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36106080251) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12159540 + ... + 12162508.

Almost surely, 236106080256 is an apocalyptic number.

36106080256 is the 190016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36106080256

36106080256 is an abundant number, since it is smaller than the sum of its proper divisors (36121592565).

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

36106080256 is an frugal number, since it uses more digits than its factorization.

36106080256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 36106080256 in words is "thirty-six billion, one hundred six million, eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2969 4096 5938 11876 23752 47504 95008 190016 380032 760064 1520128 3040256 6080512 8814961 12161024 17629922 35259844 70519688 141039376 282078752 564157504 1128315008 2256630016 4513260032 9026520064 18053040128 36106080256