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5541112566 = 23211174993299
BaseRepresentation
bin1010010100100011…
…01010101011110110
3112022011120200110100
411022101222223312
542322011100231
62313501134530
7254212452063
oct51221525366
915264520410
105541112566
1123938a4980
1210a785a446
136a3ca9a42
143a7cb9c6a
152266e11e6
hex14a46aaf6

5541112566 has 96 divisors (see below), whose sum is σ = 13899600000. Its totient is φ = 1576707840.

The previous prime is 5541112553. The next prime is 5541112579. The reversal of 5541112566 is 6652111455.

5541112566 is a `hidden beast` number, since 55 + 41 + 1 + 1 + 2 + 566 = 666.

It is an interprime number because it is at equal distance from previous prime (5541112553) and next prime (5541112579).

It is a self number, because there is not a number n which added to its sum of digits gives 5541112566.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1677985 + ... + 1681283.

It is an arithmetic number, because the mean of its divisors is an integer number (144787500).

Almost surely, 25541112566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5541112566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949800000).

5541112566 is an abundant number, since it is smaller than the sum of its proper divisors (8358487434).

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

5541112566 is a wasteful number, since it uses less digits than its factorization.

5541112566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3831 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 5541112566 is about 74438.6496787791. The cubic root of 5541112566 is about 1769.5614866954.

The spelling of 5541112566 in words is "five billion, five hundred forty-one million, one hundred twelve thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 499 561 998 1122 1497 1683 2994 3299 3366 4491 5489 6598 8483 8982 9897 10978 16467 16966 19794 25449 29691 32934 36289 49401 50898 56083 59382 72578 76347 93313 98802 108867 112166 152694 168249 186626 217734 279939 326601 336498 504747 559878 616913 653202 839817 1009494 1233826 1646201 1679634 1850739 3292402 3701478 4938603 5552217 9877206 11104434 14815809 18108211 27985417 29631618 36216422 54324633 55970834 83956251 108649266 162973899 167912502 251868753 307839587 325947798 503737506 615679174 923518761 1847037522 2770556283 5541112566