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36077270172 = 223233731311287
BaseRepresentation
bin100001100110010111…
…110111010010011100
310110010021202012210120
4201212113313102130
51042341240121142
624323525034540
72415012510456
oct414627672234
9113107665716
1036077270172
1114333751069
126baa255a50
13352c476858
141a6360d2d6
15e124267ec
hex8665f749c

36077270172 has 96 divisors (see below), whose sum is σ = 90510615552. Its totient is φ = 11155262976.

The previous prime is 36077270161. The next prime is 36077270189. The reversal of 36077270172 is 27107277063.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3190713 + ... + 3201999.

It is an arithmetic number, because the mean of its divisors is an integer number (942818912).

Almost surely, 236077270172 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 36077270172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45255307776).

36077270172 is an abundant number, since it is smaller than the sum of its proper divisors (54433345380).

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

36077270172 is a wasteful number, since it uses less digits than its factorization.

36077270172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11667 (or 11665 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 42.

The spelling of 36077270172 in words is "thirty-six billion, seventy-seven million, two hundred seventy thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 313 444 626 851 939 1252 1702 1878 2553 3404 3756 5106 7199 10212 11287 11581 14398 21597 22574 23162 28796 33861 34743 43194 45148 46324 67722 69486 86388 135444 138972 259601 266363 417619 519202 532726 778803 799089 835238 1038404 1065452 1252857 1557606 1598178 1670476 2505714 3115212 3196356 3532831 5011428 7065662 9605237 10598493 14131324 19210474 21196986 28815711 38420948 42393972 57631422 81255113 115262844 130714747 162510226 243765339 261429494 325020452 392144241 487530678 522858988 784288482 975061356 1568576964 3006439181 6012878362 9019317543 12025756724 18038635086 36077270172