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211155045434432 = 2611461650620703
BaseRepresentation
bin110000000000101101011101…
…011110011100010001000000
31000200122020002011121212122022
4300000231131132130101000
5210134031013112400212
62025031142210501012
762322306604120601
oct6000553536342100
91020566064555568
10211155045434432
116130a39638aa30
121b823319594768
1390a8ab233b238
143a1dd5ca77da8
151962962256772
hexc00b5d79c440

211155045434432 has 56 divisors (see below), whose sum is σ = 458094230237952. Its totient is φ = 95771367334400.

The previous prime is 211155045434419. The next prime is 211155045434447. The reversal of 211155045434432 is 234434540551112.

It is a super-2 number, since 2×2111550454344322 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 324985808 + ... + 325634895.

It is an arithmetic number, because the mean of its divisors is an integer number (8180254111392).

Almost surely, 2211155045434432 is an apocalyptic number.

211155045434432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211155045434432 is an abundant number, since it is smaller than the sum of its proper divisors (246939184803520).

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

211155045434432 is a wasteful number, since it uses less digits than its factorization.

211155045434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650621187 (or 650621177 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

Adding to 211155045434432 its reverse (234434540551112), we get a palindrome (445589585985544).

The spelling of 211155045434432 in words is "two hundred eleven trillion, one hundred fifty-five billion, forty-five million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 461 704 922 1844 3688 5071 7376 10142 14752 20284 29504 40568 81136 162272 324544 650620703 1301241406 2602482812 5204965624 7156827733 10409931248 14313655466 20819862496 28627310932 41639724992 57254621864 114509243728 229018487456 299936144083 458036974912 599872288166 1199744576332 2399489152664 3299297584913 4798978305328 6598595169826 9597956610656 13197190339652 19195913221312 26394380679304 52788761358608 105577522717216 211155045434432