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2354186960896 = 214119872
BaseRepresentation
bin100010010000100000011…
…110100100000000000000
322100001120100002200220211
4202100200132210000000
5302032333330222041
65001255404443504
7332040642666301
oct42204036440000
98301510080824
102354186960896
118284501908a1
12320310549594
13140cca6c4744
1481d2c4227a8
15413878d7481
hex224207a4000

2354186960896 has 45 divisors (see below), whose sum is σ = 4708623044419. Its totient is φ = 1176995282944.

The previous prime is 2354186960821. The next prime is 2354186960897. The reversal of 2354186960896 is 6980696814532.

The square root of 2354186960896 is 1534336.

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

It is a super-3 number, since 3×23541869608963 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2354186960897) 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, 196389015 + ... + 196401001.

Almost surely, 22354186960896 is an apocalyptic number.

2354186960896 is the 1534336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2354186960896

2354186960896 is an abundant number, since it is smaller than the sum of its proper divisors (2354436083523).

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

2354186960896 is an frugal number, since it uses more digits than its factorization.

2354186960896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24002 (or 11989 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 67.

The spelling of 2354186960896 in words is "two trillion, three hundred fifty-four billion, one hundred eighty-six million, nine hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 11987 16384 23974 47948 95896 191792 383584 767168 1534336 3068672 6137344 12274688 24549376 49098752 98197504 143688169 196395008 287376338 574752676 1149505352 2299010704 4598021408 9196042816 18392085632 36784171264 73568342528 147136685056 294273370112 588546740224 1177093480448 2354186960896