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235687872225764 = 2272101113931045013
BaseRepresentation
bin110101100101101101011011…
…111001101110000111100100
31010220111112121001101120120002
4311211231123321232013210
5221343002230242211024
62153133302550200432
7100433613121145300
oct6545553371560744
91126445531346502
10235687872225764
1169108735557242
1222525a7b653118
13a16836a47b13a
14422b4d509cd00
151c3abb0a826ae
hexd65b5be6e1e4

235687872225764 has 72 divisors (see below), whose sum is σ = 484586589522168. Its totient is φ = 100000124313600.

The previous prime is 235687872225733. The next prime is 235687872225779. The reversal of 235687872225764 is 467522278786532.

It can be written as a sum of positive squares in 4 ways, for example, as 202017612624100 + 33670259601664 = 14213290^2 + 5802608^2 .

It is a super-2 number, since 2×2356878722257642 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 235687872225691 and 235687872225700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225013322 + ... + 226058334.

It is an arithmetic number, because the mean of its divisors is an integer number (6730369298919).

Almost surely, 2235687872225764 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 235687872225764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242293294761084).

235687872225764 is an abundant number, since it is smaller than the sum of its proper divisors (248898717296404).

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

235687872225764 is a wasteful number, since it uses less digits than its factorization.

235687872225764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056525 (or 1056516 counting only the distinct ones).

The product of its digits is 3793305600, while the sum is 74.

The spelling of 235687872225764 in words is "two hundred thirty-five trillion, six hundred eighty-seven billion, eight hundred seventy-two million, two hundred twenty-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 101 196 202 404 707 1414 2828 4949 9898 11393 19796 22786 45572 79751 159502 319004 558257 1045013 1116514 1150693 2090026 2233028 2301386 4180052 4602772 7315091 8054851 14630182 16109702 29260364 32219404 51205637 56383957 102411274 105546313 112767914 204822548 211092626 225535828 422185252 738824191 1477648382 2955296764 5171769337 10343538674 11905833109 20687077348 23811666218 47623332436 83340831763 166681663526 333363327052 583385822341 1166771644682 1202489144009 2333543289364 2404978288018 4809956576036 8417424008063 16834848016126 33669696032252 58921968056441 117843936112882 235687872225764