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211468320000 = 2836547237
BaseRepresentation
bin1100010011110001111…
…1100111110100000000
3202012211120221201000000
43010330133213310000
511431041342220000
6241051444000000
721164245030200
oct3047437476400
9665746851000
10211468320000
1181757398813
1234b98390000
1316c31289042
14a34125c400
15577a1c0000
hex313c7e7d00

211468320000 has 1890 divisors, whose sum is σ = 944823198858. Its totient is φ = 47029248000.

The previous prime is 211468319999. The next prime is 211468320013. The reversal of 211468320000 is 23864112.

211468320000 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 5 ways, for example, as 39833773056 + 171634546944 = 199584^2 + 414288^2 .

It is a tau number, because it is divible by the number of its divisors (1890).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

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 209 ways as a sum of consecutive naturals, for example, 5715359982 + ... + 5715360018.

Almost surely, 2211468320000 is an apocalyptic number.

211468320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211468320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472411599429).

211468320000 is an abundant number, since it is smaller than the sum of its proper divisors (733354878858).

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

211468320000 is an frugal number, since it uses more digits than its factorization.

211468320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 211468320000 in words is "two hundred eleven billion, four hundred sixty-eight million, three hundred twenty thousand".