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212708934144 = 293572233741
BaseRepresentation
bin1100011000011001110…
…0001100001000000000
3202100001001101102200000
43012012130030020000
511441111441343034
6241414522400000
721240061052100
oct3060634141000
9670031342600
10212708934144
1182233714563
1235283960000
131709b300755
14a41bd21200
1557ee07e599
hex318670c200

212708934144 has 1440 divisors, whose sum is σ = 813010214016. Its totient is φ = 55180984320.

The previous prime is 212708934143. The next prime is 212708934161. The reversal of 212708934144 is 441439807212.

It is a self number, because there is not a number n which added to its sum of digits gives 212708934144.

It is not an unprimeable number, because it can be changed into a prime (212708934143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5188022764 + ... + 5188022804.

Almost surely, 2212708934144 is an apocalyptic number.

212708934144 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 212708934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406505107008).

212708934144 is an abundant number, since it is smaller than the sum of its proper divisors (600301279872).

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

212708934144 is an equidigital number, since it uses as much as digits as its factorization.

212708934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 212708934144 in words is "two hundred twelve billion, seven hundred eight million, nine hundred thirty-four thousand, one hundred forty-four".