Search a number
-
+
6402055212 = 2233753527
BaseRepresentation
bin1011111011001011…
…11001110000101100
3121112011121002202000
411331211321300230
5101102411231322
62535134132300
7314435400000
oct57545716054
917464532660
106402055212
11279587a923
1212a8051090
137b0479967
1444a38a700
152770a53ac
hex17d979c2c

6402055212 has 144 divisors (see below), whose sum is σ = 19369566720. Its totient is φ = 1828640016.

The previous prime is 6402055183. The next prime is 6402055213. The reversal of 6402055212 is 2125502046.

6402055212 is a `hidden beast` number, since 640 + 2 + 0 + 5 + 5 + 2 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6402055213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1813393 + ... + 1816919.

It is an arithmetic number, because the mean of its divisors is an integer number (134510880).

Almost surely, 26402055212 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 6402055212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9684783360).

6402055212 is an abundant number, since it is smaller than the sum of its proper divisors (12967511508).

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

6402055212 is an equidigital number, since it uses as much as digits as its factorization.

6402055212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 6402055212 is about 80012.8440439408. The cubic root of 6402055212 is about 1856.8342506978.

Adding to 6402055212 its reverse (2125502046), we get a palindrome (8527557258).

The spelling of 6402055212 in words is "six billion, four hundred two million, fifty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2401 2646 3087 3527 4116 4802 5292 6174 7054 7203 9261 9604 10581 12348 14108 14406 16807 18522 21162 21609 24689 28812 31743 33614 37044 42324 43218 49378 50421 63486 64827 67228 74067 86436 95229 98756 100842 126972 129654 148134 151263 172823 190458 201684 222201 259308 296268 302526 345646 380916 444402 453789 518469 605052 666603 691292 888804 907578 1036938 1209761 1333206 1555407 1815156 2073876 2419522 2666412 3110814 3629283 4666221 4839044 6221628 7258566 8468327 9332442 10887849 14517132 16936654 18664884 21775698 25404981 32663547 33873308 43551396 50809962 59278289 65327094 76214943 101619924 118556578 130654188 152429886 177834867 228644829 237113156 304859772 355669734 457289658 533504601 711339468 914579316 1067009202 1600513803 2134018404 3201027606 6402055212