Search a number
-
+
206897172480 = 212345124721
BaseRepresentation
bin1100000010110000001…
…0000101000000000000
3201210001000112100110000
43000230002011000000
511342211134004410
6235014112240000
720643050643405
oct3005402050000
9653030470400
10206897172480
117a821072a49
1234121540000
131668323161b
14a02a1122ac
1555adc2adc0
hex302c085000

206897172480 has 260 divisors, whose sum is σ = 741680076852. Its totient is φ = 55172136960.

The previous prime is 206897172479. The next prime is 206897172491. The reversal of 206897172480 is 84271798602.

It is a happy number.

206897172480 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 97 + 1 + 72 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26197364736 + 180699807744 = 161856^2 + 425088^2 .

It is a super-3 number, since 3×2068971724803 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1596520 + ... + 1721240.

Almost surely, 2206897172480 is an apocalyptic number.

206897172480 is a gapful number since it is divisible by the number (20) 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 206897172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370840038426).

206897172480 is an abundant number, since it is smaller than the sum of its proper divisors (534782904372).

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

206897172480 is an equidigital number, since it uses as much as digits as its factorization.

206897172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124762 (or 124731 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 206897172480 in words is "two hundred six billion, eight hundred ninety-seven million, one hundred seventy-two thousand, four hundred eighty".