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11401534206 = 23231831731423
BaseRepresentation
bin10101001111001010…
…11001101011111110
31002102120222221121200
422213211121223332
5141322243043311
65123210240330
7552353304336
oct124745315376
932376887550
1011401534206
114920961447
1222624260a6
1310c918535a
147a23540c6
1546ae57556
hex2a7959afe

11401534206 has 96 divisors (see below), whose sum is σ = 25974853632. Its totient is φ = 3610059840.

The previous prime is 11401534187. The next prime is 11401534247. The reversal of 11401534206 is 60243510411.

It is a happy number.

11401534206 is a `hidden beast` number, since 1 + 1 + 401 + 53 + 4 + 206 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11401534206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8011611 + ... + 8013033.

It is an arithmetic number, because the mean of its divisors is an integer number (270571392).

Almost surely, 211401534206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11401534206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987426816).

11401534206 is an abundant number, since it is smaller than the sum of its proper divisors (14573319426).

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

11401534206 is a wasteful number, since it uses less digits than its factorization.

11401534206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11401534206 in words is "eleven billion, four hundred one million, five hundred thirty-four thousand, two hundred six".

Divisors: 1 2 3 6 9 18 31 62 83 93 166 173 186 249 279 346 498 519 558 747 1038 1423 1494 1557 2573 2846 3114 4269 5146 5363 7719 8538 10726 12807 14359 15438 16089 23157 25614 28718 32178 43077 44113 46314 48267 86154 88226 96534 118109 129231 132339 236218 246179 258462 264678 354327 397017 445129 492358 708654 738537 794034 890258 1062981 1335387 1477074 2125962 2215611 2670774 3661379 4006161 4431222 7322758 7631549 8012322 10984137 15263098 20432857 21968274 22894647 32952411 40865714 45789294 61298571 65904822 68683941 122597142 137367882 183895713 367791426 633418567 1266837134 1900255701 3800511402 5700767103 11401534206