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212415479808 = 216372171297
BaseRepresentation
bin1100010111010011110…
…0110000000000000000
3202022021121012101222220
43011310330300000000
511440011330323213
6241325440531040
721226565534100
oct3056474600000
9668247171886
10212415479808
11820a3000a14
1235201620a80
131705258512c
14a3d0d73200
1557d3414e23
hex3174f30000

212415479808 has 408 divisors, whose sum is σ = 698214168432. Its totient is φ = 57076088832.

The previous prime is 212415479777. The next prime is 212415479831. The reversal of 212415479808 is 808974514212.

It is a tau number, because it is divible by the number of its divisors (408).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163773816 + ... + 163775112.

Almost surely, 2212415479808 is an apocalyptic number.

212415479808 is a gapful number since it is divisible by the number (28) 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 212415479808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349107084216).

212415479808 is an abundant number, since it is smaller than the sum of its proper divisors (485798688624).

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

212415479808 is an equidigital number, since it uses as much as digits as its factorization.

212415479808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 212415479808 in words is "two hundred twelve billion, four hundred fifteen million, four hundred seventy-nine thousand, eight hundred eight".