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207993934080 = 283359916073
BaseRepresentation
bin1100000110110101100…
…1111001000100000000
3201212212110021121112000
43001231121321010000
511401432421342310
6235315011504000
721012166161162
oct3015531710400
9655773247460
10207993934080
1180234176199
12343888b8000
13167c951a29a
14a0d1a4a932
1556251724c0
hex306d679100

207993934080 has 288 divisors, whose sum is σ = 738956037120. Its totient is φ = 55399956480.

The previous prime is 207993934063. The next prime is 207993934081. The reversal of 207993934080 is 80439399702.

207993934080 is a `hidden beast` number, since 207 + 9 + 9 + 393 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2079939340802 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (207993934081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34245924 + ... + 34251996.

Almost surely, 2207993934080 is an apocalyptic number.

207993934080 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 207993934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369478018560).

207993934080 is an abundant number, since it is smaller than the sum of its proper divisors (530962103040).

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

207993934080 is an equidigital number, since it uses as much as digits as its factorization.

207993934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 207993934080 in words is "two hundred seven billion, nine hundred ninety-three million, nine hundred thirty-four thousand, eighty".