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6406663662 = 23272233131009
BaseRepresentation
bin1011111011101110…
…11110110111101110
3121112111021020100100
411331313132313232
5101110101214122
62535421011530
7314522512500
oct57567366756
917474236310
106406663662
112798438263
1212a96b3ba6
137b1401459
1444ac29d70
152776b5aac
hex17dddedee

6406663662 has 144 divisors (see below), whose sum is σ = 16920053280. Its totient is φ = 1743565824.

The previous prime is 6406663651. The next prime is 6406663667. The reversal of 6406663662 is 2663666046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406663667) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6349014 + ... + 6350022.

It is an arithmetic number, because the mean of its divisors is an integer number (117500370).

Almost surely, 26406663662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6406663662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460026640).

6406663662 is an abundant number, since it is smaller than the sum of its proper divisors (10513389618).

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

6406663662 is a wasteful number, since it uses less digits than its factorization.

6406663662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The square root of 6406663662 is about 80041.6370522243. The cubic root of 6406663662 is about 1857.2796844993.

The spelling of 6406663662 in words is "six billion, four hundred six million, six hundred sixty-three thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 313 322 414 441 483 626 882 939 966 1009 1127 1449 1878 2018 2191 2254 2817 2898 3027 3381 4382 5634 6054 6573 6762 7063 7199 9081 10143 13146 14126 14398 15337 18162 19719 20286 21189 21597 23207 30674 39438 42378 43194 46011 46414 49441 50393 63567 64791 69621 92022 98882 100786 127134 129582 138033 139242 148323 151179 162449 208863 276066 296646 302358 315817 324898 352751 417726 444969 453537 487347 631634 705502 889938 907074 947451 974694 1058253 1137143 1462041 1894902 2116506 2210719 2274286 2842353 2924082 3174759 3411429 4421438 5684706 6349518 6632157 6822858 7263791 10234287 13264314 14527582 15475033 19896471 20468574 21791373 30950066 39792942 43582746 46425099 50846537 65374119 92850198 101693074 130748238 139275297 152539611 278550594 305079222 355925759 457618833 711851518 915237666 1067777277 2135554554 3203331831 6406663662