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206712000896 = 275356953551
BaseRepresentation
bin1100000010000011111…
…1101101000110000000
3201202120010002122210012
43000200333231012000
511341321233012041
6234543455324052
720635342005512
oct3004077550600
9652503078705
10206712000896
117a736598885
123408b520628
1316653a6983b
14a00d6adbb2
15559c8503eb
hex3020fed180

206712000896 has 64 divisors (see below), whose sum is σ = 420324292800. Its totient is φ = 101225779200.

The previous prime is 206712000893. The next prime is 206712000917. The reversal of 206712000896 is 698000217602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206712000893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3833321 + ... + 3886871.

It is an arithmetic number, because the mean of its divisors is an integer number (6567567075).

Almost surely, 2206712000896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206712000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210162146400).

206712000896 is an abundant number, since it is smaller than the sum of its proper divisors (213612291904).

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

206712000896 is an equidigital number, since it uses as much as digits as its factorization.

206712000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54187 (or 54175 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 206712000896 in words is "two hundred six billion, seven hundred twelve million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 569 848 1138 1696 2276 3392 4552 6784 9104 18208 30157 36416 53551 60314 72832 107102 120628 214204 241256 428408 482512 856816 965024 1713632 1930048 2838203 3427264 3860096 5676406 6854528 11352812 22705624 30470519 45411248 60941038 90822496 121882076 181644992 243764152 363289984 487528304 975056608 1614937507 1950113216 3229875014 3900226432 6459750028 12919500056 25839000112 51678000224 103356000448 206712000896