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212470668864 = 26332331331521
BaseRepresentation
bin1100010111100000111…
…1010001111001000000
3202022102110001022011000
43011320033101321000
511440114442400424
6241335131452000
721231135613116
oct3057017217100
9668373038130
10212470668864
1182121176303
1235217bb7000
1317060b3938c
14a3d841bab6
1557d81b73c9
hex31783d1e40

212470668864 has 448 divisors, whose sum is σ = 676135157760. Its totient is φ = 65235456000.

The previous prime is 212470668847. The next prime is 212470668901. The reversal of 212470668864 is 468866074212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 212470668864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407812924 + ... + 407813444.

Almost surely, 2212470668864 is an apocalyptic number.

212470668864 is a gapful number since it is divisible by the number (24) 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 212470668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338067578880).

212470668864 is an abundant number, since it is smaller than the sum of its proper divisors (463664488896).

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

212470668864 is a wasteful number, since it uses less digits than its factorization.

212470668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 212470668864 in words is "two hundred twelve billion, four hundred seventy million, six hundred sixty-eight thousand, eight hundred sixty-four".