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209247694096 = 2472172314
BaseRepresentation
bin1100001011100000100…
…0100110110100010000
3202000002211110012221011
43002320020212310100
511412014402202341
6240043240140304
721055232024200
oct3027010466420
9660084405834
10209247694096
11808179606a1
1234678767694
13169691b540c
14a1b0372400
15569a27bb81
hex30b8226d10

209247694096 has 225 divisors, whose sum is σ = 517680879045. Its totient is φ = 81679772160.

The previous prime is 209247694093. The next prime is 209247694099. The reversal of 209247694096 is 690496742902.

It is a happy number.

The square root of 209247694096 is 457436.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (209247694093) and next prime (209247694099).

It can be written as a sum of positive squares in only one way, i.e., 162909104400 + 46338589696 = 403620^2 + 215264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 209247694096.

It is not an unprimeable number, because it can be changed into a prime (209247694093) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6749925601 + ... + 6749925631.

Almost surely, 2209247694096 is an apocalyptic number.

209247694096 is the 457436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209247694096

209247694096 is an abundant number, since it is smaller than the sum of its proper divisors (308433184949).

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

209247694096 is an frugal number, since it uses more digits than its factorization.

209247694096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 209247694096 in words is "two hundred nine billion, two hundred forty-seven million, six hundred ninety-four thousand, ninety-six".