Search a number
-
+
212043847680 = 211345759619
BaseRepresentation
bin1100010101111011001…
…1000101100000000000
3202021022200220112120000
43011132303011200000
511433231211111210
6241224523320000
721214433652360
oct3053663054000
9667280815500
10212043847680
1181a22251225
1235119080000
1316cc3596972
14a3978749a0
1557b09a6ac0
hex315ecc5800

212043847680 has 960 divisors, whose sum is σ = 884755872000. Its totient is φ = 47568715776.

The previous prime is 212043847643. The next prime is 212043847723. The reversal of 212043847680 is 86748340212.

It is a happy number.

212043847680 is a `hidden beast` number, since 2 + 1 + 204 + 384 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 342558411 + ... + 342559029.

It is an arithmetic number, because the mean of its divisors is an integer number (921620700).

Almost surely, 2212043847680 is an apocalyptic number.

212043847680 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 212043847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442377936000).

212043847680 is an abundant number, since it is smaller than the sum of its proper divisors (672712024320).

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

212043847680 is an equidigital number, since it uses as much as digits as its factorization.

212043847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 212043847680 in words is "two hundred twelve billion, forty-three million, eight hundred forty-seven thousand, six hundred eighty".