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219593460820968 = 233213234608398313
BaseRepresentation
bin110001111011100000010110…
…001110100010101111101000
31001210111221002211220110222100
4301323200112032202233220
5212240304401432232333
62055011502050053400
764153050445334463
oct6173402616425750
91053457084813870
10219593460820968
1163a73077930aa3
122076682587a260
13956b761246780
143c3254743a2da
151a5c1e33dc213
hexc7b8163a2be8

219593460820968 has 48 divisors (see below), whose sum is σ = 640480927397220. Its totient is φ = 67567218713856.

The previous prime is 219593460820967. The next prime is 219593460820997. The reversal of 219593460820968 is 869028064395912.

219593460820968 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 9 + 3 + 4 + 608 + 2 + 0 + 9 + 6 + 8 = 666.

219593460820968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 202572538908804 + 17020921912164 = 14232798^2 + 4125642^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 219593460820896 and 219593460820905.

It is not an unprimeable number, because it can be changed into a prime (219593460820967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117304198221 + ... + 117304200092.

Almost surely, 2219593460820968 is an apocalyptic number.

It is an amenable number.

219593460820968 is an abundant number, since it is smaller than the sum of its proper divisors (420887466576252).

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

219593460820968 is a wasteful number, since it uses less digits than its factorization.

219593460820968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234608398338 (or 234608398331 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 219593460820968 in words is "two hundred nineteen trillion, five hundred ninety-three billion, four hundred sixty million, eight hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 234608398313 469216796626 703825194939 938433593252 1407650389878 1876867186504 2111475584817 2815300779756 3049909178069 4222951169634 5630601559512 6099818356138 8445902339268 9149727534207 12199636712276 16891804678536 18299455068414 24399273424552 27449182602621 36598910136828 54898365205242 73197820273656 109796730410484 219593460820968