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213197344704 = 263629157571
BaseRepresentation
bin1100011010001110001…
…1010100111111000000
3202101022002102021000000
43012203203110333000
511443112010012304
6241535211000000
721255141346431
oct3064343247700
9671262367000
10213197344704
1182464385653
123539b439000
1317148558696
14a466b3b488
15582bda8939
hex31a38d4fc0

213197344704 has 196 divisors, whose sum is σ = 656181806760. Its totient is φ = 68614801920.

The previous prime is 213197344697. The next prime is 213197344751. The reversal of 213197344704 is 407443791312.

213197344704 is a `hidden beast` number, since 2 + 13 + 197 + 3 + 447 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213197344704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1274239 + ... + 1431809.

Almost surely, 2213197344704 is an apocalyptic number.

213197344704 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 213197344704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328090903380).

213197344704 is an abundant number, since it is smaller than the sum of its proper divisors (442984462056).

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

213197344704 is an equidigital number, since it uses as much as digits as its factorization.

213197344704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157630 (or 157605 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 213197344704 in words is "two hundred thirteen billion, one hundred ninety-seven million, three hundred forty-four thousand, seven hundred four".