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206555213152 = 25171931644647
BaseRepresentation
bin1100000001011110100…
…1100110110101100000
3201202011012002000102201
43000113221212311200
511341011113310102
6234520135022544
720631426225421
oct3002751466540
9652135060381
10206555213152
117a66603a932
1234046b0aa54
131662a432222
149dd6939648
15558dbce987
hex3017a66d60

206555213152 has 96 divisors (see below), whose sum is σ = 467859732480. Its totient is φ = 89115863040.

The previous prime is 206555213147. The next prime is 206555213159. The reversal of 206555213152 is 251312555602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206555213159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908 + ... + 642739.

It is an arithmetic number, because the mean of its divisors is an integer number (4873538880).

Almost surely, 2206555213152 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 206555213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233929866240).

206555213152 is an abundant number, since it is smaller than the sum of its proper divisors (261304519328).

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

206555213152 is a wasteful number, since it uses less digits than its factorization.

206555213152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644724 (or 644716 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

Adding to 206555213152 its reverse (251312555602), we get a palindrome (457867768754).

The spelling of 206555213152 in words is "two hundred six billion, five hundred fifty-five million, two hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 31 32 34 38 62 68 76 124 136 152 248 272 304 323 496 527 544 589 608 646 992 1054 1178 1292 2108 2356 2584 4216 4712 5168 8432 9424 10013 10336 16864 18848 20026 40052 80104 160208 320416 644647 1289294 2578588 5157176 10314352 10958999 12248293 19984057 20628704 21917998 24496586 39968114 43835996 48993172 79936228 87671992 97986344 159872456 175343984 195972688 208220981 319744912 339728969 350687968 379697083 391945376 416441962 639489824 679457938 759394166 832883924 1358915876 1518788332 1665767848 2717831752 3037576664 3331535696 5435663504 6075153328 6454850411 6663071392 10871327008 12150306656 12909700822 25819401644 51638803288 103277606576 206555213152