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212010875808 = 25361891572591
BaseRepresentation
bin1100010101110011010…
…1010011101110100000
3202021020101212101122120
43011130311103232200
511433144241011213
6241221344504240
721213553465434
oct3053465235640
9667211771576
10212010875808
1181a05680a46
123510a01b080
1316cb97c1094
14a3933309c4
1557acb42423
hex315cd53ba0

212010875808 has 192 divisors, whose sum is σ = 575873141760. Its totient is φ = 68266598400.

The previous prime is 212010875807. The next prime is 212010875861. The reversal of 212010875808 is 808578010212.

212010875808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120108758082 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212010875808.

It is not an unprimeable number, because it can be changed into a prime (212010875807) by changing a digit.

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, 81824593 + ... + 81827183.

It is an arithmetic number, because the mean of its divisors is an integer number (2999339280).

Almost surely, 2212010875808 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 212010875808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287936570880).

212010875808 is an abundant number, since it is smaller than the sum of its proper divisors (363862265952).

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

212010875808 is a wasteful number, since it uses less digits than its factorization.

212010875808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The spelling of 212010875808 in words is "two hundred twelve billion, ten million, eight hundred seventy-five thousand, eight hundred eight".